On state-space realization of Bezout factorizations in singular systems

Z. W. Gao, D. W C Ho

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

2 Citations (Scopus)

Abstract

Based on reduced-order causal observer-based controllers for singular systems, a new state-space realization of Bezout factorization composed of all proper stable transfer functions is established. The resulting parametrization of all causal properly stabilizing controllers is characterized. The relationships among the Bezout factorization in the present paper and the previous results are also discussed, which give explicit formulae of computing one from another. Copyright © 2006 Watam Press.
Original languageEnglish
Pages (from-to)387-410
JournalDynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume13
Issue number3-4
Publication statusPublished - Jun 2006

Research Keywords

  • Bezout factorization
  • Controller parametrization
  • Reduced-order controller
  • Singular systems
  • State-space realization

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