Analysis of Differential Inclusions: Feedback Control Method

Vyacheslav Maksimov ()
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Vyacheslav Maksimov: Ural Branch of the Russian Academy of Sciences

A chapter in Optimization and Optimal Control, 2010, pp 259-275 from Springer

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.

Keywords: differential inclusions; feedback control; reconstruction (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-0-387-89496-6_14

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DOI: 10.1007/978-0-387-89496-6_14

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