Razumikhin-type theorems on exponential stability of impulsive infinite delay differential systems |
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| Authors: | Xilin Fu Xiaodi Li |
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| Affiliation: | School of Mathematical Sciences, Shandong Normal University, Ji’nan, 250014, PR China |
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| Abstract: | In this note, we study the exponential stability of impulsive functional differential systems with infinite delays by using the Razumikhin technique and Lyapunov functions. Several Razumikhin-type theorems on exponential stability are obtained, which shows that certain impulsive perturbations may make unstable systems exponentially stable. Some examples are discussed to illustrate our results. |
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| Keywords: | Razumikhin technique Lyapunov function Impulsive infinite delay differential systems Exponential stability |
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