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Analysis of Differential Inclusions: Feedback Control Method

In: Optimization and Optimal Control

Author

Listed:
  • Vyacheslav Maksimov

    (Ural Branch of the Russian Academy of Sciences)

Abstract

Summary In this chapter, controlled differential inclusions in a Hilbert space containing subdifferentials of convex functions are considered. The following three problems are studied: the problem of prescribed motion realization, the problem of robust control, and the problem of input dynamical reconstruction. Solution algorithms that are stable with respect to informational noises and computational errors are presented. The algorithms are based on the method of feedback control. They adaptively take into account inaccurate measurements of phase trajectories and are regularized in the following sense: the more precise is incoming information, the better is the algorithm’s output.

Suggested Citation

  • Vyacheslav Maksimov, 2010. "Analysis of Differential Inclusions: Feedback Control Method," Springer Optimization and Its Applications, in: Altannar Chinchuluun & Panos M. Pardalos & Rentsen Enkhbat & Ider Tseveendorj (ed.), Optimization and Optimal Control, pages 259-275, Springer.
    • Handle: RePEc:spr:spochp:978-0-387-89496-6_14
    DOI: 10.1007/978-0-387-89496-6_14
    as

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