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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 2, Pages 63–73
DOI: https://doi.org/10.26907/0021-3446-2020-2-63-73 (Mi ivm9545) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Stability analysis of nonstationary switched systems

A. V. Platonov

Saint Petersburg State University, 7/9 Universitetskaya Nab., Saint Petersburg, 199034 Russia
Full-text PDF (382 kB) Citations (6)
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DOI: https://doi.org/10.26907/0021-3446-2020-2-63-73
Abstract: We investigate the problem of asymptotic stability for nonstationary switched systems. The direct Lyapunov method is used. It is assumed that for any mode a comparison equation in the Bernoulli form is constructed for the considered system. Sufficient conditions on the nonstationary coefficients of the comparison equations and the switching law are found to guarantee the asymptotic stability of the zero solution of the studied system. Obtained results are applied to the stability analysis of some classes of mechanical systems with switched force fields.
Keywords: nonstationary switched systems, asymptotic stability, Lyapunov's direct method.
Received: 14.02.2019
Revised: 14.02.2019
Accepted: 19.06.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 2, Pages 56–65
DOI: https://doi.org/10.3103/S1066369X20020061
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: A. V. Platonov, “Stability analysis of nonstationary switched systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 2, 63–73; Russian Math. (Iz. VUZ), 64:2 (2020), 56–65
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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