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.
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Translated from Matematicheskie Zametki, vol. 80, no. 4, 2006, pp. 516–525.
Original Russian Text Copyright © 2006 by A. O. Ignat’ev, O. A. Ignat’ev, A. A. Soliman.
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Ignat’ev, A.O., Ignat’ev, O.A. & Soliman, A.A. Asymptotic stability and instability of the solutions of systems with impulse action. Math Notes 80, 491–499 (2006). https://doi.org/10.1007/s11006-006-0167-7
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DOI: https://doi.org/10.1007/s11006-006-0167-7