Linear Systems

On the asymptotic stability of solutions of difference switched systems

A. V. Platonov

St. Petersburg State University, St. Petersburg, Russia

Abstract: We consider difference systems obtained by discretizing certain classes of differential systems. It is assumed that the system under consideration can operate in several modes. The problem is to establish conditions that guarantee the asymptotic stability of a given equilibrium position when switching regimes. We use the method of Lyapunov functions. We study the case when solutions of the system under various operating modes can have features of both linear and nonlinear behavior.

Keywords: difference equations, switched systems, stability, Lyapunov functions.

Presented by the member of Editorial Board: P. V. Pakshin

Received: 28.08.2017

 English version: Automation and Remote Control, 2018, 79:5, 811–821

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