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Uniform Optimal Control

  • Avraham Feintuch
Chapter
  • 429 Downloads
Part of the Applied Mathematical Sciences book series (AMS, volume 130)

Abstract

In this chapter we study a class of optimal control problems. To provide motivation we begin with a simple sensitivity minimization problem for a feedback system where Land C are multiplication operators.

Keywords

Optimal Control Problem Discrete Time System Hankel Operator Standard Problem Coprime Factorization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References, Notes, and Remarks

  1. 1.
    Francis, B. A., A Course inH Control Theory,Lecture Notes in Control and Information Sciences, 88, Springer-Verlag, 1987.Google Scholar
  2. 2.
    Feintuch, A., Francis, B. A., Uniformly optimal control of linear time-varying systemsSystem Control Lett.5 (1984), 67–71.zbMATHCrossRefGoogle Scholar
  3. 3.
    Feintuch, A., Francis, B. A., Uniformly optimal control of linear systemsAutomatica21 (1986), 563–574.MathSciNetCrossRefGoogle Scholar
  4. 4.
    Zames, G., Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms and approximate inversesIEEE Trans. Aut. Cont.AC-23 (1981), 301–320.MathSciNetCrossRefGoogle Scholar
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    Zames, G., Francis, B. A., Feedback, Minimax sensitivity and optimal robustnessIEEE Trans. Aut. Cont.AC-28 (1983), 585–601.MathSciNetCrossRefGoogle Scholar
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    Foias, C., Frazho, A.The Commutant Lifting Approach to Interpolation Problems, OT44, Basel, Birkhäuser-Verlag, 1990.Google Scholar
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    Iglesias, P. A., An entropy formula for time-varying discrete time control systemsSIAM J. Cont. and Optim.34 (1996), 1691–1706.MathSciNetzbMATHCrossRefGoogle Scholar
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    Chen, T., Francis, B., Optimal Sampled-Data Control Systems, New York, Springer- Verlag, 1995.zbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Avraham Feintuch
    • 1
  1. 1.Department of Mathematics and Computer ScienceBen-Gurion University of the NegevBeer-ShevaIsrael

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