脉冲耦合时滞微分与连续差分系统的稳定性

摘要/Abstract

摘要：

该文研究脉冲耦合时滞微分与连续差分系统的稳定性. 首先, 该文为这类系统引入了一些新的概念如L₂稳定、吸引和L₂渐近稳定, 然后给出了一些系统L₂稳定和L₂渐近稳定的判据. 该文也给出了一个例子来验证所得结论的有效性. 应该注意到这是首次考虑这类脉冲系统.

关键词: 脉冲, 差分方程, 时滞微分系统, L₂稳定

Abstract:

The purpose of this paper is to investigate the stability of impulsive coupled delay differential and continuous time difference systems. First, some new concepts of L₂ stability, attraction and L₂ asymptotic stability for this kind of systems are introduced, then some criteria of L₂ stability and L₂asymptotic stability are obtained. An example is also presented to illustrate the efficiency of the obtained results. It should be noticed that this kind of impulsive systems is considered for the first time.

Key words: Impulse, Difference equation, Delay differential system, L₂ stability

中图分类号:

34A37

张瑜, 孙继涛. 脉冲耦合时滞微分与连续差分系统的稳定性[J]. 数学物理学报, 2010, 30(3): 694-702.

ZHANG Yu, SUN Ji-Tao. Stability of |Impulsive Coupled |Delay Differential and Continuous Time Difference Systems[J]. Acta mathematica scientia,Series A, 2010, 30(3): 694-702.

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