Localization of invariant compact sets of families of discrete-time systems


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Abstract

The functional method of localization of invariant compact sets developed for continuous- and discrete-time dynamical systems is extended to families of discrete-time systems. Positively invariant compact sets are considered. As an example, the method is applied to the Hénon system with uncertain parameters.

About the authors

S. V. Emel’yanov

Institute of System Analysis

Email: apkri@bmstu.ru
Russian Federation, pr. Shestidesyatiletiya Oktyabrya 9, Moscow, 117312

A. N. Kanatnikov

Institute of System Analysis; Bauman State Technical University

Email: apkri@bmstu.ru
Russian Federation, pr. Shestidesyatiletiya Oktyabrya 9, Moscow, 117312; Vtoraya Baumanskaya ul. 5, Moscow, 105005

A. P. Krishchenko

Bauman State Technical University

Author for correspondence.
Email: apkri@bmstu.ru
Russian Federation, Vtoraya Baumanskaya ul. 5, Moscow, 105005

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