The Method of Lyapunov Function and Exponential Stability of Impulsive Delay Systems with Delayed Impulses

Pei Cheng, Feiqi Deng and Lianglong Wang

Mathematical Problems in Engineering, 2013, vol. 2013, 1-7

Abstract:

This paper investigates the exponential stability of general impulsive delay systems with delayed impulses. By using the Lyapunov function method, some Lyapunov-based sufficient conditions for exponential stability are derived, which are more convenient to be applied than those Razumikhin-type conditions in the literature. Their applications to linear impulsive systems with time-varying delays are also proposed, and a set of sufficient conditions for exponential stability is provided in terms of matrix inequalities. Meanwhile, two examples are discussed to illustrate the effectiveness and advantages of the results obtained.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:458047

DOI: 10.1155/2013/458047

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