脉冲耦合时滞微分与连续差分系统的稳定性  

Stability of Impulsive Coupled Delay Differential and Continuous Time Difference Systems

作　　者：张瑜[1] 孙继涛[1] 

机构地区：[1]同济大学数学系,上海200092

出　　处：《数学物理学报（A辑）》2010年第3期694-702,共9页Acta Mathematica Scientia

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

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L_2稳定、吸引和L_2渐近稳定,然后给出了一些系统L_2稳定和L_2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.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.

关 键 词：脉冲 差分方程 时滞微分系统 L_2稳定 

分 类 号：O175.13[理学—数学]