2004 June, Controlo 2004, Faro

2004 July, 1st CTS Workshop, Coimbra

2004 July, Optimization 2004, Lisbon

2004 August, WSEAS International Conference on APPLIED MATHEMATICS,
         Corfu, Greece, August 17-19, 2004

2004 September, 3rd Junior European Meeting, University of Aveiro, Portugal
 

Talks and presentations

Talks at CEOC (Centre for Research in Optimization and Control) database [LaTeX]

1.

1994 July, Aquisição Directa, Processamento Computadorizado e Tridimensionalização de Imagens da Área Avascular Central da Retina Humana, VIII Jornadas Internacionais de Oftalmologia, Coimbra, Portugal

2.

1994 November, Reconstrução Tridimensional de Imagens da Retina Humana, Dep. Mat., Univ. Aveiro, Portugal

3.

1998 May, O Princípio do Máximo de Pontryagin e a Regularidade Lipschitziana dos Minimizantes no Cálculo das Variações e Controlo Óptimo, Dep. Matemática, Univ. Coimbra, Portugal

4.       Transparencies:  [102Kb pdf file]    [292Kb ps file]    [80Kb ziped pdf file] 

1998 September, Lipschitzian Regularity of Minimizers in the Calculus of Variations and Optimal Control, Moscow State University, Russia

5.    

1998 October, Lipschitzian Regularity Conditions for the Minimizing Trajectories of Optimal Control Problems, , Lisboa, Portugal

6.       Transparencies:  [74Kb pdf file]    [209Kb ps file]    [53Kb ziped pdf file]

1999 March, Breve Apresentação do Maple V, Dep. Mat., Univ. Aveiro, Portugal

7.

2000 March, Condições de transversalidade no Cálculo das Variações, forma Hamiltoniana e primeiros integrais das equações de Euler-Lagrange, Dep. Mat., Univ. Aveiro, Portugal

8.

2000 March, O teorema de Noether no Cálculo das Variações e suas aplicações em Física, Dep. Mat., Univ. Aveiro, Portugal

9.       Transparencies:  [111Kb pdf file]    [329Kb ps file]    [92Kb ziped pdf file]

2000 April, Sistemas de Computação Algébrica: Ferramentas Informáticas para a Matemática ou Ferramentas Matemáticas para a Informática?, Sessão especial dedicada ao ``Ano 2000, Ano Mundial da Matemática'', 3^o Concurso/Encontro Nacional de Programação em Lógica, Dep. Informática, Univ. Minho, Portugal

10.     Transparencies:  [107Kb pdf file]    [308Kb ps file]    [85Kb ziped pdf file]

2000 May, Regularidade Lipschitziana, Existência e Condições Necessárias no Controlo Óptimo, Encontro de ``Teoria Matemática do Controlo'' (COPO-2000), Dep. Matemática, Univ. Aveiro, Portugal

11.     Transparencies:  [113Kb pdf file]    [399Kb ps file]    [92Kb ziped pdf file]   

2000 June, Lipschitzian Regularity of Minimizers for Optimal Control Problems, Second Nonlinear Control Network (NCN) Workshop, Centre National de la Recherche Scientifique, Paris, France

12.

2000 December, Problemas de Horizonte Infinito no Cálculo das Variações e Controlo Óptimo, Dep. Mat., Univ. Aveiro, Portugal

13.

2001 March, O Computador Matemático de Post, Secondary school José Macedo Fragateiro, Ovar.

14.     Transparencies:  [98Kb pdf file]    [381Kb ps file]    [78Kb ziped pdf file]

2001 April, Conservation Laws in Optimal Control, 3rd Nonlinear Control Network Workshop: Dynamics, Bifurcations and Control, Kloster Irsee, Germany

15.

2001 April, Teorema de Noether em Controlo Óptimo, Dep. Mat., Univ. Aveiro, Portugal

16.     Transparencies:  [271Kb pdf file]    [389Kb ps file]    [247Kb ziped pdf file]

2001 July, A Fundamental Property of the Dynamic Optimization Extremals, Optimization 2001, Aveiro, Portugal

17.     Transparencies:  [324Kb ps file]    [131Kb ziped ps file]

2001 August, Regularity of Minimizers in Optimal Control, EQUADIFF 10 (The Czechoslovak International Conference on Differential Equations and Their Applications), August 27-31, Prague, Czech Repuplic

18.     Transparencies:  [110Kb pdf file]    [406Kb ps file]    [89Kb ziped pdf file]

2001 September, On the Noether Theorem for Optimal Control, Invited Session on Optimal Control Theory, ECC 2001 (European Control Conference), Porto, Portugal

19.     Transparencies:  [265Kb pdf file]    [245Kb ziped pdf file]

2002 May, Tonelli's Full-Regularity in the Calculus of Variations and Optimal Control: Recent Developments, COPO 2002 - Portuguese Mathematicians in Control, University of Coimbra

20.     Transparencies:  [287Kb pdf file]    [433Kb ps file]    [263Kb ziped pdf file]

2002 July, Conserved Quantities along the Pontryagin Extremals of Quasi-Invariant Optimal Control Problems, Invited Session on Control, Optimization and Computation, 10th Mediterranean Conference on Control and Automation - MED2002,
Lisbon, Portugal

21.     Transparencies:  [272Kb pdf file]    [402Kb ps file]    [249Kb ziped pdf file]

2002 September, On Optimal Control Problems which Admit an Infinite Continuous Group of Transformations, Invited Session on Geometric Methods in Optimization and Control, 5th Portuguese Conference on Automatic Control - Controlo 2002, Aveiro, Portugal

22.     Transparencies:  [390Kb pdf file]    [768Kb ps file]    [345Kb ziped pdf file]

2002 October, Carathéodory-Equivalence, Noether Theorems, and Tonelli Full-Regularity in the Calculus of Variations and Optimal Control, 
Invited Lecture, First Junior European Meeting "Control Theory and Stabilization",
Laboratoire Analyse Appliquée-Optimisation, Université de Bourgogne,
Dijon, France

 

23.     [Resumo]

2003 March, Uma Extensão Própria do Teorema da Simetria de Noether para Extremais Não-Suaves do Cálculo das Variações, Instituto de Sistemas e Robótica, Coimbra, Portugal

 

24.     Transparencies:    [125Kb pdf file]    [90Kb ziped pdf file]
          2003 April, A Proper Extension of Noether's Symmetry Theorem for Nonsmooth
          Extremals of the Calculus of Variations, Invited Session on Optimal Control,
          2nd IFAC Workshop on Lagrangian and Hamiltonian Methods in Nonlinear Control,
          Sevilla, Spain

 

25.     Transparencies:    [299Kb pdf file]    [403Kb ps file]    [271Kb ziped pdf file]
          2003 May, The Noether Principle of Optimal Control, Session on Optimal Control
          Theory, Eight Viennese Workshop on Optimal Control, Dynamic Games and Nonlinear
          Dynamics: Theory and Applications in Economics and OR/MS, Vienna, Austria

 

 

26.     Transparencies:    [227Kb pdf file]
          2003 June, The role of symmetry in the regularity properties of optimal controls,
          Symmetry in Nonlinear Mathematical Physics, Kiev, Ukraine

 

 

27.     Transparencies:    [271Kb pdf file]
          2003 July,  Integrals of Motion for Discrete-Time Optimal Control Problems,
          session "Optimal Control" (co-chair), IFAC Workshop on Control Applications
           of Optimization, CAO 2003, Visegrád, Hungary

 

 

 

28.     Transparencies:    [300Kb pdf file]
          2003 December, Optimal Control of Newton-Type Problems
          of Minimal Resistance, Second Junior European Meeting, Control Theory
          and Stabilization, Dipartimento di Matematica, Politecnico di Torino, Torino, Italy

 

 

 

 

29.    
          2004 January, Symmetry in the Calculus of Variations and Optimal Control,
          Young European Researchers in Mechanics Meeting 2004 (YERM2004)
          Instituto Superior Técnico, Lisbon, Portugal

 

30.   Transparencies:    [528Kb ps.zip file]
        2004 January, Da Adrenalina em Escorregas e Condução de Helicópteros
        à  Exploração Marciana. Ciclo de Conferências de Matemática destinadas
        a toda a comunidade Universitária com interesse nos avanços da Matemática, Aveiro

31.   Transparencies:    [115Kb pdf file]
        2004 March, O Jogo do 24 - digressões com o Maple,
        Conferência destinada a Estagiários e Orientadores de Estágio,
        Dep. Matemática, Univ. Aveiro

32.   [Abstract]    [455Kb pdf file]
        2004 July, A Computer Algebra Package for Determining Symmetries
        and Conservation Laws in the Calculus of Variations (with Paulo D. F. Gouveia),
        Optimization 2004, Organized Session MA6: Optimal Control I, Lisbon

33.   Transparencies:    [320Kb pdf file]
        2004 August, On the Noether Invariance Principle for Constrained
        Optimal Control Problems, WSEAS International Conference
        on APPLIED MATHEMATICS, SESSION: Optimization and Applications,
        Corfu, Greece, August 17-19, 2004

34.   Transparencies:    [236Kb pdf file]
        2004 September, Lipschitzian Regularity of the Minimizing Trajectories
        in the Calculus of Variations and Optimal Control: a Survey,
        Third Junior European Meeting on "Control, Optimization and Computation",
        University of Aveiro, Portugal, September 6--8, 2004
  

Joint papers presented by coauthors

[2004]

          Two-dimensional problems of minimal resistance in a medium of positive
          temperature (presented by  Alexander Yu. Plakhov).
          6th Portuguese Conference on Automatic Control - Controlo 2004,
          Faro, Portugal, June 2004

          Linear-quadratic optimal control problems and spline functions
          in Euclidean spaces   (presented by Rui C. Rodrigues)
          First CTS Workshop, Coimbra, Portugal, July 2004

          Computação Algébrica no Cálculo das Variações: Determinação de Simetrias
          e Leis de Conservação (presented by Paulo D. F. Gouveia), XXVII CNMAC
          (Congresso Nacional de Matemática Aplicada e Computacional), FAMAT/PUCRS,
          Porto Alegre, RS, Brasil, 13 a 16 de Setembro de 2004.

          Transparencies:    [357Kb pdf file]
          On the Classical Newton's Problem of Minimal Resistance
          (presented by Cristiana J. Silva), Third Junior European Meeting
          on "Control, Optimization and Computation",
          University of Aveiro, Portugal, September 6--8, 2004

          [Abstract]
          Newton's aerodynamical problem in media of positive temperature
           (presented by  Alexander Yu. Plakhov), Seminários CEOC,
           Dep. Mathematics, Univ. Aveiro, sala Sousa Pinto, October 15 , 2004

Refereeing

 

Referee for the following international peer-reviewed journals of Mathematics:

 

        Applied Mathematics E-notes (AMEN)

                  

        Rend. Sem. Mat. Univ. Pol. Torino

 

        Finite Fields and Their Applications

 

Referee for the 5th Portuguese Conference on Automatic Control, Controlo 2002
 

Referee for the 6th Portuguese Conference on Automatic Control, Controlo 2004

          Referee for the 2004 WSEAS International Conference
          on APPLIED MATHEMATICS

Reviewing

 

Reviewer for Mathematical Reviews (MR), since 2004 (invitation: January 6, 2004)
 

Reviewer for the Zentralblatt MATH database, since 2002 (invitation: May 24, 2002)

 

Endorser

Endorser of arXiv.math, since January 17, 2004
 

Jury committees

2004
            Member of the Scientific Committee of the MIUP'2004
            Portuguese preparation for the ACM Southwestern European
            ACM Programming Contest SWERC'2004
            Universidade Nova de Lisboa

 

  Member of the Scientific Committee and jury of the CeNPL'2004
  National Contest on Logic Programming
  Dep. Mathematics, IST, Lisboa 

 

2003
            Member of the Scientific Committee of the MIUP'2003
            Portuguese preparation for the ACM Southwestern European
            ACM Programming Contest SWERC'2003
            Universidade do Minho

 

            Member of the Scientific Committee and jury of the CeNPL'2003
            National Contest on Logic Programming
            Universidade de Évora 

2002
            Member of the Scientific Committee of the MIUP'2002
            Portuguese preparation for the ACM Southwestern European
            ACM Programming Contest SWERC'2002
            Department of Informatics, Universidade de Lisboa
            (see [26])

 

            Member of the Scientific Committee and jury of the CeNPL'2002
            National Contest on Logic Programming
            Department of Informatics, Univ. Coimbra
            (see [23])

 

2001
            Member of the Scientific Committee of the MIUP'2001
            Maratona Inter-Universitária de Programação
            Portuguese preparation for the ACM Southwestern European
            ACM Programming Contest SWERC'2001
            Department of Computer Sciences, Universidade do Porto
            (see [18])

            Member of the Scientific Committee and jury of the CeNPL'2001
            National Contest on Logic Programming
            Department of Mathematics-Informatics, Universidade da Beira Interior
            (see [20])

 

2000
            Member of the Scientific Committee and jury of the CeNPL'2000
            National Contest on Logic Programming
            Department of Informatics, Universidade do Minho
            (see [20])

1999
            Member of the Scientific Committee and jury of the CeNPL'99
            National Contest on Logic Programming
            Department of Informatics, Universidade Nova de Lisboa
            (see [6,§ 14, § 16 and § 18] and [20])

 

1998
            Member of the Scientific Committee and jury of the CeNPL'98
            National Contest on Logic Programming
            Department of Mathematics, Universidade de Aveiro
            (see [6,§ 14 and § 17] and [20])

1995
            Member of the jury responsible for the marking of the mathematics admission
            examination to the portuguese public university

Projects

 

 

2004
            Application of Conservation Laws to Space Trajectography
            Actions Universitaires Intégrées Luso-Françaises
            (I am responsible for the project together with E. Trélat, University Paris XI, Orsay)
 

Since 2002
            Nonlinear Systems and Control Network (NSCN)
            European Commission. Research Training Network

 

            Project POCTI/MAT/41683/2001
            Advances in Nonlinear Control and Calculus of Variations
            FCT - Sapiens'01

 

 

2001-2002
            Mathematical Physics (Projecto Física-Matemática)
            Universities of Lisbon, Coimbra, and Aveiro

 

1999, June-July
            EquaMat, Project P_matE (Project Teaching of Mathematics)
            Aveiro, Portugal

 

1998-1999
            Nonlinear control systems
            Qualitative study, topological properties of the trajectory space
            ICCTI (Aveiro, Portugal), INRIA (Sophia-Antipolis, France)

 

1997-2002
            Breakthrough in the control of nonlinear systems
            European Comission's Training and Mobility of Researchers (TMR) Programme
            CNRS France, Nonlinear Control Network (NCN)
            Research Network ERB 4061-PL-97

 

1995-2000
            Mathematical Physics
            FCT-PRAXIS XXI
            University of Lisbon, Portugal

 

1993-1994
            Project PBIC/C/SAU/1576/92
            JNICT
            Coimbra, Portugal

 

1990
            Projecto Minerva
            Pólo de Coimbra, Portugal

Grants, fellowships and support

 

1993-1994, JNICT, FMRH/BJI/1480/93

 

1995-1997, PRODEP, 4/PRODEP/95

 

1997 June-July, NSF National Science Foundation

 

1998 July-Aug, OTAN Advanced Study Institute

 

1998 October, CMAF, University of Lisbon

 

1999 September, European Commission, TMR Programme

 

2000 June, European Commission, TMR Programme

 

2000 June, Fondazione CIME - Centro Internazionale Matematico Estivo

 

2000-2003, PRODEP III, 5.3/C/200.009/PRODEP/2000

 

2001 April, European Commission, TMR Programme

 

2001 June, CNA, Carnegie Mellon University, USA

 

2001 June, European Commission, TMR Programme

 

2001 September, APCA, ECC 2001

 

2001 September, European Commission, TMR Programme

 

2002 September, European Commission, TMR Programme

 

2002 October, Université de Bourgogne

 

2002 November, FCT, POCTI, PAEGTD/1830/2002

Membership in professional societies

 

Since 1995

        Portuguese Association for the Development of Operational Research (APDIO)

 

Since 1996 

        Portuguese Mathematical Society (SPM)

 

Since 1996

        Portuguese Association for Automatic Control (APCA)

 

Since 1997

        Opt-Net

 

Since 1999

        T_EX Users Group (TUG)

 

Since 2000

        European Mathematical Society (EMS)

 

Since 2001

        Brazilian Mathematical Society (SBM)

 

Since 2001

        American Mathematical Society (AMS)
 

 

Since 2001

        IFAC (International Federation of Automatic Control) Affiliate

 

Since 2002

        Portuguese Association for Teachers of Mathematics (APM)

 

Since 2002

        Portuguese Physical Society (SPF)

Language abilities

 

Portuguese as mother tongue

Proficient in English

Knowledge of Italian

Computer skills

 

I am a computer-literate mathematician.

 

Systems
            Unix, Linux, MS-DOS, Windows, etc.

 

Languages
            Pascal, C (see [18]), C++, Prolog ([6,11,20,23]), Lisp, etc.

 

Applications
            L^AT_EX (see [7,12]), MatLab, Mathematica, Maple, etc.

References on Computer Science
and teaching skills

 

Name
            Prof. Pedro Rangel Henriques

 

Position
            Associate Professor

 

Institution
            Departamento de Informática
            Campus de Gualtar
            Universidade do Minho
            4709 Braga Codex, Portugal

 

Email
            prh@di.uminho.pt

References on Mathematics
and teaching skills

 

Name
            Prof. Andrey V. Sarychev

 

Position
            Full Professor

 

Institution
            Dipartimento di Matematica per le Decisioni
            Università degli Studi di Firenze
            Via Cesare Lombroso, 6/17
            50134 Firenze, Italy
 

Email
            andrey.sarychev@dmd.unifi.it

Publications of D. F. M. Torres

My Publications at arXiv: [Citebase] [Front for arXiv] [my.OAI]  [OAIster]
My Publications at the Mathematical Reviews Database
My Publications at the Zentralblatt MATH
My Publications in CEOC (Centre for Research in Optimization and Control) database  
My Publications in ABC (Bibliographical Archive for Scientific Publications) database
[ISI]
[Scopus]
My Publications in the Portuguese Archive of Mathematics (DSpace)

[Impact: Citebase]
[Author Citations in MR Citation Database]
 

Special Issue on: Control Applications of Optimisation -
control and aeronautics, optimal control, control of partial differential equations,
Guest Editors: Delfim F. M. Torres and Emmanuel Trélat,
International Journal of Tomography & Statistics,
Volume 5, No. W07, Winter 2007 [Contents] [Abstracts]

Special Issue on: Control Applications of Optimisation -
applications of optimal control, robust control and stabilization, applications in industry,
Guest Editors: Delfim F. M. Torres and Emmanuel Trélat,
International Journal of Tomography & Statistics,
Vol. 6, No. S07, Summer 2007 [Contents] [Abstracts]

Special Issue on: Control Applications of Optimisation -
optimisation methods, differential games, time delay control systems, economics & management,
Guest Editors: Delfim F. M. Torres and Emmanuel Trélat,
International Journal of Tomography & Statistics,
Vol. 7, No. F07, Fall 2007 [Contents] [Abstracts]

[1]    BibTeX

Delfim F. M. Torres, Aquisição Directa, Processamento Computorizado e
Tridimensionalização de Imagens da Área Avascular Central (AAC) da Retina
Humana (with E. Rocha), B.Sc. Diploma thesis (supervisor: Prof. H. J. Araújo),
Faculty of Science and Technology of the University of Coimbra and Institute of
Biomedical Research on Light and Image, Portugal, July 1994 (JNICT Reference: P^o
435.03.01; fellowship: FMRH/BJI/1480/93).

[2]    BibTeX

Delfim F. M. Torres, Quantitative Assessment of Retinal Structures and Lesions
(with L. Ribeiro, E. Rocha, H. Araújo and J. Cunha-Vaz), Proceedings of RecPad'95,
Aveiro, Portugal, 1995, pp. 6.5.1-6.5.6.

[3]    BibTeX

Delfim F. M. Torres, Regularidade Lipschitziana dos minimizantes no Cálculo das
Variações e Controlo Óptimo, M.Sc. thesis (supervisor: Prof. A. V. Sarychev),
Univ. of Aveiro, Portugal, December 1997.

[4]    BibTeX

Delfim F. M. Torres, Lipschitzian Regularity of Minimizers in the Calculus of
Variations and Optimal Control (with A. V. Sarychev), International Conference
Dedicated to the 90th Anniversary of L.S. Pontryagin, Moscow, Russia,
31 August - 6 September, 1998. Short Communications, Book of Abstracts,
Moscow, 1998, pp. 189-191.

[5]    BibTeX    [193Kb pdf file]    [538Kb ps file]    [170Kb ziped pdf file]

Delfim F. M. Torres, Lipschitzian Regularity of Minimizers for Optimal Control
Problems with Control-Affine Dynamics (with A. V. Sarychev). Prepublication:
Cadernos de Matemática CM/I-39, Dep. Matemática, Univ. Aveiro, July 1998.
Publication: Applied Mathematics and Optimization 41 (2000), no. 2, pp. 237-254.
[ISI wos]    [Zbl 0961.49021]    [MR 2000m:49048]

[6]    BibTeX [divulgação] [Acerca Autor] [Acerca Livro] [814Kb pdf] [1908Kb ps] [596Kb ps.zip]

Delfim F. M. Torres, Introdução à Programação em Lógica. Prepublication:
Cadernos de Matemática CM99/D-17, Dep. Matemática, Univ. Aveiro, September
1999. Publication: Universidade de Aveiro, Janeiro de 2000 (346 pp, ISBN 972-8021-93-3).

[7]    BibTeX    [119Kb pdf file]    [93Kb ziped pdf file]

Delfim F. M. Torres, Considerações sobre o L^AT_EX2_e (with A. B. Anjo), Gazeta de
Matemática (138), Janeiro 2000, pp. 59-66.

[8]    BibTeX

Delfim F. M. Torres, Lipschitzian Regularity of Minimizers for Optimal Control
Problems (with A. V. Sarychev), Abstracts of Second Nonlinear Control Network
(NCN) Workshop (Nonlinear Control in the Year 2000), Centre National de la
Recherche Scientifique, Paris, France, 2000 June, pp. 101-102.

[9]    BibTeX    [256Kb pdf file]    [421Kb ps file]    [150Kb ziped pdf file]

Delfim F. M. Torres, Lipschitzian Regularity Conditions for the Minimizing
Trajectories of Optimal Control Problems (with A. V. Sarychev), Nonlinear
Analysis and its Applications to Differential Equations, M. R. Grossinho, M. Ramos,
C. Rebelo, L. Sanchez, eds., Progress in Nonlinear Differential Equations and Their
Applications 43, Birkhauser Boston, 2001, pp. 357-368.
[ISI proc]    [Zbl 0987.49021]    [MR 2001j:49062]

[10]    BibTeX    [133Kb pdf file]    [94Kb ziped pdf file]

Delfim F. M. Torres, On the Noether Theorem for Optimal Control.
Prepublication: Cadernos de Matemática CM00/I-13, Dep. Matemática, Univ.
Aveiro, September 2000. Publication: Proceedings of the 6th European Control
Conference 2001, ECC'01, Porto, pp. 244-249 (invited paper)
[ISI proc]

[11]    BibTeX    [114Kb pdf file]    [288Kb ps file]    [97Kb ziped pdf file]

Delfim F. M. Torres, O Computador Matemático de Post. Prepublication:
Cadernos de Matemática CM01/D01, Dep. Matemática, Univ. Aveiro, January
2001. Publication: Boletim da Sociedade Portuguesa de Matemática, Nº 46, April
2002, pp. 81-94.
[Zbl pre01807622]

[12]    BibTeX    [106Kb pdf file]    [287Kb ps file]    [77Kb ziped pdf file]

Delfim F. M. Torres, Matemática na Internet com o L^AT_EX,
Gazeta de Matemática (140), Janeiro 2001, pp. 42-46.

[13]    BibTeX    [115Kb pdf file]    [316Kb ps file]    [99Kb ziped pdf file]

Delfim F. M. Torres, Conservation Laws in Optimal Control. Prepublication:
Cadernos de Matemática CM01/I-06, Dep. Matemática, Univ. Aveiro, April 2001.
Publication: Dynamics, Bifurcations and Control, F. Colonius, L. Grüne, eds.,
Lecture Notes in Control and Information Sciences 273, Springer-Verlag, Berlin,
Heidelberg, 2002, pp. 287-296.
[ISI wos]    [ISI proc]    [Zbl pre01819752]    [MR 2003c:49037]

[14]    BibTeX    [152Kb pdf file]    [399Kb ps file]    [130Kb ziped pdf file]

Delfim F. M. Torres, On the Noether Theorem for Optimal Control. European
Journal of Control (EJC), Vol. 8, Issue 1 2002, pp. 56-63.
[ISI wos]

[15]    BibTeX    [Abstract]    [131Kb pdf file]    [405Kb ps file]    [111Kb ziped pdf file]
                          [Abstract.txt]    [141Kb pdf]    [10Kb tex.gz]    [19Kb dvi.gz]    [52Kb ps.gz] 

Delfim F. M. Torres, A Remarkable Property of the Dynamic Optimization
Extremals. Prepublication: Research report (Cadernos de Matemática)
CM01/I-14, Dep. Matemática, Univ. Aveiro, July 2001.
Publication: Investigação Operacional, Vol. 22, Nr. 2, 2002, pp. 253-263. 

[16]    BibTeX    [345Kb pdf file]

Delfim F. M. Torres, Regularity of Minimizers in Optimal Control.
Prepublication: Research report (Cadernos de Matemática) CM01/I-16, Dep.
Matemática, Univ. Aveiro, October 2001. Publication: Equadiff 10 CD ROM,
Czechoslovak International Conference on Differential Equations and their
Applications (Prague, Czech Repuplic, 2001),
Masaryk University Publishing House, Brno 2002, pp. 397-412.

[17]    [Abstract.txt]    [199Kb pdf]    [16Kb tex.tar.gz]    [32Kb dvi.gz]    [69Kb ps.gz]

Delfim F. M. Torres, Lipschitzian Regularity of the Minimizing Trajectories for
Nonlinear Optimal Control Problems. Mathematics of Control, Signals,
and Systems (MCSS), 16, 2003, pp. 158-174. [DOI: 10.1007/s00498-003-0132-x]
[ISI wos]    [info.txt]    [Zbl pre01998222]    [MR 2006825]   

[18]    BibTeX    [97Kb pdf file]    [184Kb ps file]    [83Kb ziped pdf file]

Delfim F. M. Torres, Symbolic Numerical System, Cadernos de Matemática
CM02/D01, Dep. Matemática, Univ. Aveiro, January 2002. MIUP'2001, 1st.
Portuguese ACM Programming Contest. (See the problem in the Valladolid Programming Contest Site)

[19]    BibTeX    [155Kb pdf file]

Delfim F. M. Torres, Conserved Quantities along the Pontryagin Extremals of
Quasi-Invariant Optimal Control Problems. Prepublication: Research report
(Cadernos de Matemática) CM02/I-01, Dep. Matemática, Univ. Aveiro, January 2002. 
Publication: Proceedings of the 10th Mediterranean Conference on Control 
and Automation - MED2002 (invited paper), Lisbon, Portugal, July 9-12, 2002.

[20]    BibTeX    [106Kb pdf file]    [296Kb ps file]    [88Kb ziped pdf file]

Delfim F. M. Torres, Matemática e Prolog, Cadernos de Matemática CM02/D-03,
Dep. Matemática, Univ. Aveiro, February 2002. CeNPL's of 1998 (Univ. Aveiro),
1999 (Univ. Nova de Lisboa), 2000 (Univ. Minho) and 2001 (Univ. Beira Interior),
National Contest on Logic Programming.

[21]    BibTeX    [82Kb pdf file]    [175Kb ps file]    [70Kb ziped pdf file]

Delfim F. M. Torres, On Optimal Control Problems which Admit an Infinite
Continuous Group of Transformations. Prepublication: Cadernos de
Matemática CM02/I-06, Dep. Matemática, Univ. Aveiro, March 2002.
Publication:  Proceedings of the 5th Portuguese Conference on Automatic Control
- Controlo 2002, Aveiro, September 5-7, 2002, pp. 247-251.

[22]    [Abstract.txt]    [213Kb pdf]    [13Kb tex.gz]    [31Kb dvi.gz]    [75Kb ps.gz]

Delfim F. M. Torres, Quasi-Invariant Optimal Control Problems, Portugaliæ  Mathematica, Vol. 61, Fasc. 1, 2004, pp. 97-114.
[Zbl pre02067408]  [MR 2040245]

[23]    BibTeX    [71Kb pdf file]    [202Kb ps file]    [58Kb ziped pdf file]

Delfim F. M. Torres, Cavaleiro de Euler, Cadernos de Matemática CM02/D-04,
Dep. Matemática, Univ. Aveiro, April 2002. National Contest on Logic Programming,
CeNPL'02, DEI-FCTUC / DEIS-ISEC, Coimbra, April 11-13, 2002.

[24]    BibTeX    [Abstract.txt]    [Abstract.pdf] 
              [1889Kb pdf print]    [1919Kb pdf screen]    [3084Kb ps]    [1131Kb zip]    [PAM]   

Delfim F. M. Torres, Regularidade dos Minimizantes no Cálculo das Variações e
Controlo Óptimo, Ph.D. thesis (supervisor: Prof. A. V. Sarychev), Univ. of Aveiro,
Portugal, 2002.

[25]    [207Kb pdf]    [555Kb ps]
          Delfim F. M. Torres, Carathéodory-Equivalence, Noether Theorems, and Tonelli
          Full-Regularity in the Calculus of Variations and Optimal Control.
          Prepublication: Cadernos de Matemática CM02/I-16, Dep. Matemática,
          Univ. Aveiro, July 2002.  Publication: Proceedings of the First Junior European
          Meeting on "Control Theory and Stabilization", U. Boscain and L. Faubourg,
          eds.,Dijon, France, Octobre 2-4 2002. Laboratoire Analyse Appliquée
          et Optimisation, Département de Mathématiques, Université de Bourgogne,
          2002, pp. 193-210.

[26]    BibTeX    [12Kb TeX file]    [108Kb pdf file]    [95Kb ziped pdf file]

Delfim F. M. Torres, Entropy Text Analyser, Cadernos de Matemática CM03/D01,
Dep. Matemática, Univ. Aveiro, January 2003. MIUP'2002, 2nd Portuguese ACM
Programming Contest. (See the problem in the Valladolid Programming Contest Site)
 

[27]   BibTeX    [Abstract.txt]    [147Kb pdf]    [9Kb tex.gz]    [19Kb dvi.gz]    [49Kb ps.gz]

Delfim F. M. Torres, Gauge Symmetries and Noether Currents in Optimal
Control, Applied Mathematics E-Notes, Vol. 3, 2003, pp. 49-57. [207Kb pdf]
[Zbl pre01925174]    [MR 1980565]

[28]    [Abstract.txt]    [182Kb pdf]    [12Kb tex.gz]    [25Kb dvi.gz]    [61Kb ps.gz]
          Delfim F. M. Torres, Integrals of Motion for Discrete-Time Optimal Control
          Problems. Prepublication: Cadernos de Matemática CM03/I-01, Dep.
          Matemática, Univ. Aveiro, January 2003.  Preprint: Preprints of the International
          Federation of Automatic Control, Workshop on Control Applications of Optimization
          - CAO'2003, Visegrád, Hungary, 30 June - 2 July 2003, pp. 44-49.
           Publication: CAO 2003 Proceedings.  Editors: Bars & Gyurkovics,
          Control Applications of Optimisation, pp. 33-38, 2003 (ISBN: 0 08 044074 6)
          [ISI proc] 

[29]    [Abstract.txt]    [136Kb pdf]    [6Kb tex.gz]    [14Kb dvi.gz]    [44Kb ps.gz]
          Delfim F. M. Torres, A Proper Extension of Noether's Symmetry Theorem
          for Nonsmooth Extremals of the Calculus of Variations.
          Prepublication: Cadernos de Matemática CM03/I-11, Dep. Matemática,
          Univ. Aveiro, February 2003.  Preprint: Preprints of the International
          Federation of Automatic Control, 2nd Workshop on Lagrangian and Hamiltonian
          Methods for Nonlinear Control (invited session on "Optimal Control"), Seville, Spain,
          April 3-5, 2003, pp. 225-228.  Publication: Proceedings of the 2nd IFAC
          Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control.
          Editors: Astolfi, Gordillo and van der Schaft, Lagrangian and Hamiltonian Methods
          for Nonlinear Control, 2003, pp. 195-198 (ISBN: 0 08 044278 1)
          [ISI proc]    [MR 2082976]

[30]    [Abstract.txt]    [242Kb pdf]    [22Kb tex.gz]    [42Kb dvi.gz]    [82Kb ps.gz]
          Delfim F. M. Torres, Carathéodory-Equivalence, Noether Theorems, and Tonelli
          Full-Regularity in the Calculus of Variations and Optimal Control.  
          Journal of Mathematical Sciences, Volume 120, Issue 1, Mar 2004, pp. 1032-1050.

[31]    [Abstract.txt]    [76Kb pdf]    [3Kb tex.gz]    [7Kb dvi.gz]    [25Kb ps.gz]   
          Delfim F. M. Torres, On the Constancy of the Pontryagin Hamiltonian
          for Autonomous Problems. Prepublication: Cadernos de Matemática
          CM03/I-14, Dep. Matemática, Univ. Aveiro, March 2003.

[32]    [125Kb pdf]
          Delfim F. M. Torres, Números Felizes e Sucessões de Smarandache:
          Digressões com o Maple, 30/Abril/2003. Prepublication: Cadernos
          de Matemática CM03/D-02, Dep. Matemática, Univ. Aveiro, June 2003.
          Publication: Smarandache Notions Journal, Vol. 14, 2004, pp. 119-123. [307Kb pdf]
 

[33]    [100Kb pdf]
          Delfim F. M. Torres, Autómatos Celulares, Cadernos de Matemática CM03/D-03,
          Dep. Matemática, Univ. Aveiro, June 2003. National Contest on Logic Programming,
          CeNPL'03, University of Évora, Évora, May 9-11, 2003.
 

[34]

    [221Kb pdf]   
           Delfim F. M. Torres, Proper Extensions of Noether's Symmetry Theorem for
           Nonsmooth Extremals of the Calculus of Variations. Communications on
           Pure and Applied Analysis, Vol. 3, No. 3, September 2004, pp. 491-500.
           [ISI]    [MR2098297]

 

[35]

    [121Kb pdf]
           Delfim F. M. Torres,  The Role of Symmetry in the Regularity Properties
           of Optimal Controls, Proceedings of Institute of Mathematics of National
           Academy of Sciences of Ukraine, Vol. 50, Part 3, pp. 1488-1495, 2004.
           [MR 2077966]

 

 

[36]

    [Abstract.txt]    [165Kb pdf]    [12Kb tex.gz]    [19Kb dvi.gz]    [50Kb ps.gz]      
           Delfim F. M. Torres,  Smarandache Sequences: Explorations and Discoveries
           with a Computer Algebra System (with Paulo D. F. Gouveia).  
           Prepublication: Cadernos de Matemática CM03/I-35, Dep. Matemática,
           Univ. Aveiro, December 2003.  Publication: Smarandache Notions Journal,
           Vol. 14, 2004, pp. 5-22.  [737Kb pdf]

 

[37]    [82Kb pdf file]
           Delfim F. M. Torres, Rational Neighbor, Cadernos de Matemática CM04/D-01,
           Dep. Matemática, Univ. Aveiro, January 2004. MIUP'2003, 3rd Portuguese
           Programming Contest.

[38]    [Abstract.txt]    [219Kb pdf]    [21Kb tex.gz]    [37Kb dvi.gz]    [79Kb ps.gz]      
           Delfim F. M. Torres, Optimal Control of Newton-Type Problems
           of Minimal Resistance (with Alexander Yu. Plakhov).
           Prepublication: Cadernos de Matemática CM04/I-01,
           Dep. Matemática, Univ. Aveiro, January 2004.   Publication:  Accepted
           on Rendiconti del Seminario Matematico dell'Università e del Politecnico di Torino,
           Special Issue "Control Theory and Stabilization".

[39]   [Abstract.txt]    [246Kb pdf]    [34Kb tex.gz]    [51Kb dvi.gz]    [100Kb ps.gz]
         Delfim F. M. Torres, Generalized splines in $\mathbb{R}^n$ and optimal control
         (with Rui C. Rodrigues). Prepublication: Cadernos de Matemática CM04/I-04,
         Dep. Matemática, Univ. Aveiro, February 2004.   Publication:  Accepted to Rend.
         Sem. Mat. Univ. Pol. Torino.

[40]    [Abstract.txt]    [160Kb pdf]    [17Kb tex.gz]    [29Kb dvi.gz]    [68Kb ps.gz]   
           Delfim F. M. Torres, Two-dimensional problems of minimal resistance
           in a medium of positive temperature (with Alexander Yu. Plakhov).
           Prepublication: Cadernos de Matemática CM04/I-08, Dep. Matemática,
           Univ. Aveiro, 2004. Publication:  Proceedings of the 6th
           Portuguese Conference on Automatic Control - Controlo 2004,
           Faro, Portugal, June 7-11, 2004, pp. 488-493.

[41]    [About the book]   
           Delfim F. M. Torres, Symmetries and Conservation Laws in Optimal Control
           Systems, book in Georgian (co-author with A. Gugushvili, O. Khutsishvili,
           V. Sesadze, G. Dalakishvili, N. Mchedlishvili, T. Khutsishvili, and V. Kekenadze),
           Georgian Technical University, Tbilisi, 2003. (ISBN 99940-14-53-6)

[42]    [196Kb pdf file]    [59Kb Maple file]    [html]    
           Delfim F. M. Torres, Números Felizes e Sucessões Associadas: Digressões com
           o Maple, Educação e Matemática nº77, Revista da Associação de Professores
           de Matemática, Março/Abril de 2004, pp. 35--38.

[43]    [173Kb pdf file]    [225Kb Maple file]    [html]   
           Delfim F. M. Torres, O Jogo do 24 - digressões com o Maple,
           Cadernos de Matemática CM04/D-03, Dep. Matemática, Univ. Aveiro, April, 2004.

[44]    [Abstract.txt]    [122Kb pdf]    [6Kb tex.gz]    [13Kb dvi.gz]    [44Kb ps.gz]        
           Delfim F. M. Torres, On the Noether Invariance Principle for Constrained
           Optimal Control Problems. Prepublication: Cadernos de Matemática
           CM04/I-12, Dep. Matemática, Univ. Aveiro, 2004.
           Proceedings: CD-ROM Proceedings of the 2004 WSEAS International Conference
           on APPLIED MATHEMATICS (ISBN: 968-8457--01-7), Paper 488-164
           Publication: WSEAS Transactions on Mathematics, Issue 3, Volume 3,
           July 2004 (ISSN: 1109-2769), pp. 620--624.
           [MR 2089373]
 

[45]    [Abstract.txt]    [80Kb pdf]    [4Kb tex.gz]    [7Kb dvi.gz]    [30Kb ps.gz]   
           Delfim F. M. Torres, Consecutive, Reversed, Mirror, and Symmetric
           Smarandache Sequences of Triangular Numbers (with Viorica Teca).
           Prepublication: Cadernos de Matemática CM04/D-05, Dep. Matemática,
           Univ. Aveiro, June 2004. Publication:  submitted to the Smarandache
           Notions Journal. 

[46]    [117Kb pdf file]        
           Delfim F. M. Torres, Torneio Inter-Universitário de Programação,
           TIUP'2004 -4ª etapa, Universidade de Aveiro (with L. Bajuelos, P. Cruz,
           T. Oliveira e Silva, E. Rocha, and J. Szymanski), Cadernos de Matemática
           CM04/D-06, Dep. Matemática, Univ. Aveiro, June 2004.

[47]    [297Kb pdf file]    [PAM]        
           First Control Training Site Workshop - Book of Abstracts,
           F. Silva Leite, M. Camarinha, M. Guerra, E. Rocha, D. Torres (eds.),
           Cadernos de Matemática CM04/D-07, Dep. Matemática, Univ. Aveiro, July 2004.
 

[48]    [Abstract.txt]    [395Kb pdf file]   
           Delfim F. M. Torres, Newton's aerodynamic problem in a medium
           consisting of moving particles (with Alexander Yu. Plakhov).
           Prepublication: Cadernos de Matemática CM04/I-22, Dep. Mathematics,
           Univ. Aveiro, September 2004.

[49]    [Abstract.txt]    [250Kb pdf]    [16Kb tex.gz]    [35Kb dvi.gz]    [80Kb ps.gz]       
           Delfim F. M. Torres, Computação Algébrica no Cálculo das Variações:
           determinação de simetrias e leis de conservação (with Paulo D. F. Gouveia).
           Prepublication: Cadernos de Matemática CM04/I-23, Dep. Mathematics,
           Univ. Aveiro, September 2004.

[50]       [Abstract.txt]    [217Kb pdf]    [498Kb tex.gz]    [513Kb dvi.gz]    [551Kb ps.gz]   [PAM]
           Delfim F. M. Torres, Analysis of Vibrations in Large Flexible Hybrid Systems
           (with Olena V. Mul). Prepublication: Cadernos de Matemática CM04/I-30,
           Dep. Mathematics, Univ. Aveiro, December 2004. Publication:  Submitted.

[51]    [306Kb pdf]    [2111Kb ps]    [PAM]        
           Delfim F. M. Torres, Computação Matemática Elementar em Maxima
           (with Rita M. R. Pereira). Cadernos de Matemática CM05/D-02,
           Dep. Mathematics, Univ. Aveiro, January 2005.

[52]    [Abstract.txt]    [146Kb pdf]    [8Kb tex.gz]    [18Kb dvi.gz]    [51Kb ps.gz]    [PAM]        
           Delfim F. M. Torres, A Noether Theorem on Unimprovable Conservation Laws
           for Vector-Valued Optimization Problems in Control Theory.
           Prepublication: Cadernos de Matemática CM05/I-01, Dep. Mathematics,
           Univ. Aveiro, January 2005.
           Proceedings: To appear (paper ID: 131) in the Conference Proceedings
           of ICMSAO'05 - First International Conference on Modeling, Simulation
           and Applied Optimization, February 1-3 2005, American University of Sharjah,
           United Arab Emirates, 2005. [pdf]

14/June/2005