Global exponential stability of impulsive integro-differential equation |
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| Authors: | Daoyi Xu Wei Zhu Shujun Long |
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| Institution: | 1. Institute of Mathematics, Sichuan University, Chengdu, 610064, China;2. Institute of Applied Mathematics, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China |
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| Abstract: | In this paper, an impulsive integro-differential equation is considered. By establishing an integro-differential inequality with impulsive initial conditions and using the properties of M-cone and eigenspace of the spectral radius of nonnegative matrices, some new sufficient conditions for global exponential stability of impulsive integro-differential equation are obtained. The results extend and improve the earlier publications. An example is given to demonstrate the effectiveness of the theory. |
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| Keywords: | Impulsive Integro-differential equation Integro-differential inequality Global exponential stability |
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