On the Asymptotic Stability Problem for Solutions of Difference Switched Systems
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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.
Keywordsdifference equations switched systems stability Lyapunov functions
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- 14.Hespanha, J.P. and Morse, A.S., Stability of Switched Systems with Average Dwell-time, Proc. 38th IEEE Conf. on Decision and Control, 1999, pp. 2655–2660.Google Scholar
- 15.Zubov, V.I., Ustoichivost’ dvizheniya. Metody Lyapunova i ikh primenenie (Motion Stability. Lyapunov Methods and Their Applications), Moscow: Vysshaya Shkola, 1973.Google Scholar