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Matematicheskie Zametki, 2016, Volume 100, Issue 4, Pages 531–543
DOI: https://doi.org/10.4213/mzm11007 (Mi mzm11007) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Lyapunov Direct Method for Semidynamical Systems

B. S. Kalitin

Belarusian State University, Minsk
Full-text PDF (486 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm11007
Abstract: The stability of closed invariant sets of semidynamical systems defined on an arbitrary metric space is analyzed. The main theorems of Lyapunov's second method for the uniform stability and uniform asymptotic stability (local and global) are stated. Illustrative examples are given.
Keywords: semidynamical system, invariant set, Lyapunov function, stability.
Received: 09.11.2015
Revised: 14.02.2016
English version:
Mathematical Notes, 2016, Volume 100, Issue 4, Pages 550–560
DOI: https://doi.org/10.1134/S0001434616090261
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: B. S. Kalitin, “Lyapunov Direct Method for Semidynamical Systems”, Mat. Zametki, 100:4 (2016), 531–543; Math. Notes, 100:4 (2016), 550–560
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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