Analysis of Differential Inclusions: Feedback Control Method

  • Vyacheslav MaksimovEmail author
Part of the Springer Optimization and Its Applications book series (SOIA, volume 39)


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.


differential inclusions feedback control reconstruction 


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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Institute of Mathematics and MechanicsUral Branch of the Russian Academy of SciencesEkaterinburgRussia

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