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Applied Mathematics A Journal of Chinese Universities  2016, Vol. 31 Issue (3): 327-337    DOI:
    
Practical stability of impulsive switched systems with time delay by Lyapunov-Razumikhin method
LI Shao-e1,2, FENG Wei-zhen1
1. School of Math. Sci., South China Normal Univ., Guangzhou 510631, China
2. Guihua High School, Foshan 528200, China
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Abstract  This paper is devoted to study practical stability of the general impulsive switched systems with time delay. By employing the Razumikhin technique and Lyapunov functions, we establish some sufficient conditions to guarantee the practical stability or uniform practical stability of impulsive switched systems with time delay. Two examples and simulation are also given to illustrate our results.

Key wordsimpulsive switched systems with time delay      practical stability      Razumikhin-type conditions      Lyapunov function     
Received: 05 May 2015      Published: 16 May 2018
CLC:  O175  
Cite this article:

LI Shao-e, FENG Wei-zhen. Practical stability of impulsive switched systems with time delay by Lyapunov-Razumikhin method. Applied Mathematics A Journal of Chinese Universities, 2016, 31(3): 327-337.

URL:

http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2016/V31/I3/327


时滞脉冲切换系统的实用稳定性-带Razumikhin条件的Lyapunov函数方法

用带Razumikhin条件的Lyapunov函数方法研究了一般形式的时滞脉冲切换系统的实用稳定性, 得到了时滞脉冲切换系统实用稳定、一致实用稳定的充分条件. 最后, 给出了具体的例子及其数值模拟.

关键词: 时滞脉冲切换系统,  实用稳定,  Razumikhin条件,  Lyapunov函数方法 
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