Impulsive stabilization of delay differential systems via the Lyapunov–Razumikhin method |
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Institution: | Department of Applied Mathematics, University of Waterloo, Waterloo, ON, Canada, N2L 3G1 |
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Abstract: | This work studies global exponential stability of impulsive delay differential systems. By employing the Razumikhin technique and Lyapunov functions, several global exponential stability criteria are established for general impulsive delay differential equations. Our results show that delay differential equations may be exponentially stabilized by impulses. An example and its simulation are also given to illustrate our results. |
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