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Matematicheskie Zametki, 2006, Volume 80, Issue 4, Pages 516–525
DOI: https://doi.org/10.4213/mzm2844 (Mi mzm2844) 		 
This article is cited in 30 scientific papers (total in 30 papers)

Asymptotic stability and instability of the solutions of systems with impulse action

A. O. Ignatyeva, O. A. Ignatyevb, A. A. Solimanc

a Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences
b Kent State University
c Benha University
Full-text PDF (488 kB) Citations (30)
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DOI: https://doi.org/10.4213/mzm2844
Abstract: In this paper, we study the stability of the zero solution of a system of ordinary differential equations subject to impulse action. Using the method of Lyapunov functions, we obtain tests for asymptotic stability or instability of the system. Illustrative examples are given.
Received: 26.07.2005
Revised: 08.02.2006
English version:
Mathematical Notes, 2006, Volume 80, Issue 4, Pages 491–499
DOI: https://doi.org/10.1007/s11006-006-0167-7
Bibliographic databases:
UDC: 517.925
Language: Russian
Citation: A. O. Ignatyev, O. A. Ignatyev, A. A. Soliman, “Asymptotic stability and instability of the solutions of systems with impulse action”, Mat. Zametki, 80:4 (2006), 516–525; Math. Notes, 80:4 (2006), 491–499
Citation in format AMSBIB
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    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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