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

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  • Pei Cheng
  • Zheng Wu
  • Lianglong Wang

Abstract

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.

Suggested Citation

  • Pei Cheng & Zheng Wu & Lianglong Wang, 2012. "New Results on Global Exponential Stability of Impulsive Functional Differential Systems with Delayed Impulses," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:376464
    DOI: 10.1155/2012/376464
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    References listed on IDEAS

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    1. Shiguo Peng & Liping Yang, 2010. "Global Exponential Stability of Impulsive Functional Differential Equations via Razumikhin Technique," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    2. Shiguo Peng & Liping Yang, 2010. "Global Exponential Stability of Impulsive Functional Differential Equations via Razumikhin Technique," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-11, February.
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    Cited by:

    1. Pei Cheng & Fengqi Yao & Mingang Hua, 2014. "Stability Analysis of Impulsive Stochastic Functional Differential Equations with Delayed Impulses via Comparison Principle and Impulsive Delay Differential Inequality," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Chunxiang Li & Fangshu Hui & Fangfei Li, 2023. "Stability of Differential Systems with Impulsive Effects," Mathematics, MDPI, vol. 11(20), pages 1-23, October.

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