脉冲延迟差分方程指数稳定性(英文)  

Exponential stability of impulsive delay difference equations

作　　者：吴开宁[1] 丁德琼[1] 丁效华[1] 

机构地区：[1]哈尔滨工业大学(威海)数学系,威海264209

出　　处：《黑龙江大学自然科学学报》2008年第3期354-357,362,共5页Journal of Natural Science of Heilongjiang University

基　　金：Supported by the NSF of China(10671047);the Foundation of HITC(200713)

摘　　要：研究脉冲延迟差分方程的指数稳定性。通过引入Lyapunov函数,指出在Lyapunov函数满足一定条件的情形下,脉冲延迟差分方程是指数稳定的,从而给出了脉冲延迟差分方程是指数稳定的充分条件。将所获得的稳定性结论应用于线性脉冲延迟差分方程,具体给出了Lyapunov函数,也给出了该线性方程是指数稳定的充分条件。数值算例验证了文中的结论。The exponential stability of impulsive delay difference equations is considered. Employing the Lyapunov function, some conditions are obtained which guarantee the exponential stability of impulsive delay difference equations, that is the stability criteria for the impulsive delay difference equations. For linear impulsive delay difference equations, a concrete Lyapunov function is given. Then, by utilizing the foregoing result, a stability criterion for linear impulsive delay difference equations is offered. Finally, two numerical experiments illustrate the correctness of the results.

关 键 词：脉冲延迟差分方程 LYAPUNOV函数 指数稳定性 

分 类 号：O241.8[理学—计算数学]