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Automation and Remote Control

, Volume 79, Issue 5, pp 811–821 | Cite as

On the Asymptotic Stability Problem for Solutions of Difference Switched Systems

  • A. V. PlatonovEmail author
Linear Systems
  • 15 Downloads

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 

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.St. Petersburg State UniversitySt. PetersburgRussia

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