Some Approaches to Stabilizing Switched Linear Systems with Operation Modes of Different Dynamic Orders


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Abstract

We study the problem of stabilizing multiple-input switched linear systems that may have operation modes of different dynamic orders. To solve this problem, we propose two approaches to constructing a. stabilizing controller based on the dynamic-order extension method and on solving a. system of linear matrix inequalities.

About the authors

A. S. Fursov

Department of Mathematics, School of Science; Lomonosov Moscow State University; Trapeznikov Institute of Control Sciences; Bauman Moscow State Technical University; Kharkevich Institute for Information Transmission Problems

Author for correspondence.
Email: fursov@cs.msu.ru
China, Hangzhou; Moscow, 119991; Moscow, 117997; Moscow, 105005; Moscow, 127051

I. V. Kapalin

National University of Science and Technology “MISiS“

Author for correspondence.
Email: ikapalin@cs.msu.ru
Russian Federation, Moscow, 11904-9

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