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Author:

Aleksandrov, A. (Aleksandrov, A..) | Platonov, A. (Platonov, A..) | Chen, Y. (Chen, Y..)

Indexed by:

Scopus

Abstract:

The problem of preservation of stability under discretization is studied. A class of nonlinear switched difference systems is considered. Systems of the class appear as computational schemes for continuoustime switched systems with homogeneous right-hand sides. By using the Lyapunov direct method, some sufficient conditions of the asymptotic stability of solutions for difference systems are obtained. These conditions depend on the information available about the switching law. Three cases are considered. In the first case, we can guarantee the asymptotic stability for any switching law, while in the second and in the third ones, classes of switched signals are determined for which the preservation of the asymptotic stability takes place. © Springer-Verlag Berlin Heidelberg 2016.

Keyword:

Computational schemes; Dwell-time; Lyapunov functions; Stability; Switched difference systems

Author Community:

  • [ 1 ] [Aleksandrov, A.]Saint Petersburg State University, Saint Petersburg, Russian Federation
  • [ 2 ] [Platonov, A.]Saint Petersburg State University, Saint Petersburg, Russian Federation
  • [ 3 ] [Chen, Y.]Beijing University of Technology, Beijing, China

Reprint Author's Address:

  • [Aleksandrov, A.]Saint Petersburg State UniversityRussian Federation

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Source :

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

ISSN: 0302-9743

Year: 2016

Volume: 9570

Page: 53-67

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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