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Avtomatika i Telemekhanika, 2018, Issue 5, Pages 46–58 (Mi at14863)  
Linear Systems

On the asymptotic stability of solutions of difference switched systems

A. V. Platonov

St. Petersburg State University, St. Petersburg, Russia
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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.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00587
This work was supported by the Russian Foundation for Basic Research, project no. 16-01-00587.
Presented by the member of Editorial Board: P. V. Pakshin

Received: 28.08.2017
English version:
Automation and Remote Control, 2018, Volume 79, Issue 5, Pages 811–821
DOI: https://doi.org/10.1134/S000511791805003X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Platonov, “On the asymptotic stability of solutions of difference switched systems”, Avtomat. i Telemekh., 2018, no. 5, 46–58; Autom. Remote Control, 79:5 (2018), 811–821
Citation in format AMSBIB
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