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Asymptotic stability and instability of the solutions of systems with impulse action
Mathematical Notes • 2006
Publication Information
Authors
A. O. Ignatyeva, O. A. Ignatyevb, A. A. Solimanc
Keywords
Not Available
Journal
Mathematical Notes
Publisher
Springer Linke
Volume
80
Issue
4
Pages
516–525
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
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.