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Asymptotic stability and instability of the solutions of systems with impulse action |
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| Authors: | A. O. Ignat’ev O. A. Ignat’ev A. A. Soliman |
| Affiliation: | (1) Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Donetsk, Ukraine;(2) Kent State University, Kent, Ohio, USA;(3) Benha University, Kalubia, Egypt |
| 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. |
| Keywords: | differential equation with impulse action dynamical system with discontinuous trajectories asymptotic stability Lyapunov function |
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