New Results on Global Exponential Stability of Impulsive Functional Differential Systems with Delayed Impulses

By using the Lyapunov functions and the Razumikhin techniques, the exponential stability of impulsive functional differential systems with delayed impulses is investigated. The obtained results have shown that the system will stable if the impulses’ frequency and amplitude are suitably related to th...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2012-01, Vol.2012 (2012), p.813-825-251
Main Authors: Cheng, Pei, Wu, Zheng, Wang, Lianglong
Format: Article
Language:English
Subjects:
Amplitudes
Complement
Continuous flow
Impulses
Lyapunov functions
Stability
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Summary:By using the Lyapunov functions and the Razumikhin techniques, the exponential stability of impulsive functional differential systems with delayed impulses is investigated. The obtained results have shown that the system will stable if the impulses’ frequency and amplitude are suitably related to the increase or decrease of the continuous flows, and they improve and complement ones from some recent works. An example is provided to illustrate the effectiveness and the advantages of the results obtained.
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/376464