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Part of the book series: Applied Mathematical Sciences ((AMS,volume 130))

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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.

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References, Notes, and Remarks

  1. Francis, B. A., A Course inH ∞Control Theory,Lecture Notes in Control and Information Sciences, 88, Springer-Verlag, 1987.

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  2. Feintuch, A., Francis, B. A., Uniformly optimal control of linear time-varying systemsSystem Control Lett.5 (1984), 67–71.

    Article  MATH  Google Scholar 

  3. Feintuch, A., Francis, B. A., Uniformly optimal control of linear systemsAutomatica21 (1986), 563–574.

    Article  MathSciNet  Google Scholar 

  4. Zames, G., Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms and approximate inversesIEEE Trans. Aut. Cont.AC-23 (1981), 301–320.

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  5. Zames, G., Francis, B. A., Feedback, Minimax sensitivity and optimal robustnessIEEE Trans. Aut. Cont.AC-28 (1983), 585–601.

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  6. Foias, C., Frazho, A.The Commutant Lifting Approach to Interpolation Problems, OT44, Basel, Birkhäuser-Verlag, 1990.

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  7. Iglesias, P. A., An entropy formula for time-varying discrete time control systemsSIAM J. Cont. and Optim.34 (1996), 1691–1706.

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  8. Chen, T., Francis, B., Optimal Sampled-Data Control Systems, New York, Springer- Verlag, 1995.

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© 1998 Springer Science+Business Media New York

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Feintuch, A. (1998). Uniform Optimal Control. In: Robust Control Theory in Hilbert Space. Applied Mathematical Sciences, vol 130. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0591-3_7

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  • DOI: https://doi.org/10.1007/978-1-4612-0591-3_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6829-1

  • Online ISBN: 978-1-4612-0591-3

  • eBook Packages: Springer Book Archive

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