On the Stability of a Switched Affine System for a Class of Switching Signals

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Abstract

We study the problem of stability of the zero equilibrium of a switched affine system closed by a linear static state feedback. The concept of feasible control for a given set of switching signals is introduced, and a constructive condition for checking this property for an arbitrary linear feedback is obtained. A sufficient condition for the stability of the zero equilibrium of a switched affine system closed by a feasible control is formulated.

About the authors

A. S Fursov

Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang, 310005, China; Lomonosov Moscow State University, Moscow, 119991, Russia; Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, 127051, Russia

Email: fursov@cs.msu.ru
Ханчжоу, Китай;Москва, Россия

P. A Krylov

Lomonosov Moscow State University, Moscow, 119991, Russia

Author for correspondence.
Email: pavel@leftsystem.ru
Москва, Россия

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