Publication [4.2] of Tomás Oliveira e Silva

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Tomás Oliveira e Silva, "Optimality Conditions for Truncated Kautz Networks with Two Periodically Repeating Complex Conjugate Poles," IEEE Transactions on Automatic Control, vol. 40, no. 2, pp. 342-346, Feb. 1995.


We present optimality conditions for the approximation of a SISO system by a truncated Kautz network with two repeating complex conjugate poles. Both the continuous and the discrete time cases are discussed. We approach the problem in a system approximation framework and we do not assume that the input signal is white (or an impulse). The results we obtain generalize the results already known for truncated Laguerre networks.

BibTeX entry

  author = {Oliveira e Silva, Tom{\'a}s},
  title = {Optimality Conditions for Truncated {K}autz Networks with Two
          Periodically Repeating Complex Conjugate Poles},
  journal = {IEEE Transactions on Automatic Control},
  year = {1995},
  volume = {40},
  number = {2},
  pages = {342--346},
  month = Feb