Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (3): 694-702.

• Articles • Previous Articles     Next Articles

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

 ZHANG Yu, SUN Ji-Tao   

  1. Department of Mathematics, Tongji University, Shanghai 200092
  • Received:2008-09-09 Revised:2009-10-12 Online:2010-05-25 Published:2010-05-25
  • Supported by:

    国家自然科学基金(60874027, 60904027, 10926114)和同济大学青年优秀人才培养行动计划(2007KJ007)资助

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 L2 asymptotic 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
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