Minimal state space realization for transfer functions represented by coefficients using generalized orthonormal basis

Research output: Contribution to journalConference article

9 Citations (Scopus)


Given the expansion coefficients γlk of a rational transfer function G in a generalized orthonormal basis generated by an inner function m, one can construct a state space representation starting from the balanced realization of m, but that representation is not minimal -even in the SISO case- in general. Therefore one needs an algorithm to construct a minimal representation. This paper gives a generalization of the celebrated Ho-Kalman algorithm that provides the desired minimal representation.

Original languageEnglish
Pages (from-to)169-174
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Publication statusPublished - Dec 1 1997
EventProceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5) - San Diego, CA, USA
Duration: Dec 10 1997Dec 12 1997


ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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