脉冲耦合时滞微分与连续差分系统的稳定性

Abstract

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

CLC Number:

34A37

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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Stability of |Impulsive Coupled |Delay Differential and Continuous Time Difference Systems

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