DiscreteH control via conjugation

  • Wang Kang
  • Zheng Huirao
  • Qiu Wei
Article
  • 25 Downloads

Abstract

DiscreteH control theory were obtained by conjugation, chain-scattering representation and (J, J′)-lossless factorization. The existence of the solution is equivalent to the existence of two positive solutions of two Riccati equations.

Key words

discrete (J, J′)-lossless factorization conjugation chain-scattering representation Riccati equation 

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References

  1. 1.
    Zames G. Feedback and optimal sensitivity: model reference transformations multiplicative seminorms, and approximate inverses.IEEE Tran AC, 1981,26: 301–320MATHMathSciNetGoogle Scholar
  2. 2.
    Kimura H. Conjugation, interpolation and modek-matching inH .Int J Control, 1989,49: 269–307MATHCrossRefGoogle Scholar
  3. 3.
    Kimura H. (J, J′)-lossless factorization based on conjugation.Systems Control letter, 1992,19: 95–109MATHCrossRefGoogle Scholar
  4. 4.
    Wang K, Zheng H, Qiu W. Discrete (J, J′)-lossless factorization.Wuhan University Journal of Natural Sciences, 1999,4(1):15–20MATHMathSciNetGoogle Scholar
  5. 5.
    Wang K, Zheng H, Fei P. DiscreteJ-Orthogonal complement and conjugation.Journal of Wuhan University (Natural Sciences Edition), 1998,44(5): 539–542 (Ch)MATHMathSciNetGoogle Scholar
  6. 6.
    Alpay D, Gohberg I. Unitary rational matrix function. In: Topic in Interpolation Theory of Rational Matrix-Valued Functions, Operator Theory. Adv Appl OT33 Brikhauser Verlag, Basel, 1988. 175–222Google Scholar

Copyright information

© Springer 1999

Authors and Affiliations

  • Wang Kang
    • 1
    • 2
  • Zheng Huirao
    • 1
  • Qiu Wei
    • 1
  1. 1.College of Mathematical SciencesWuhan UniversityWuhanChina
  2. 2.Department of Mathematics & StatisticsJames Cook UniversityTownsvilleAustralia

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