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脉冲延迟差分方程指数稳定性
  • ISSN号：1001-7011
  • 期刊名称：《黑龙江大学自然科学学报》
  • 时间：0
  • 分类：O241.8[理学—计算数学;理学—数学]
  • 作者机构：[1]哈尔滨工业大学(威海)数学系,威海264209
  • 相关基金：Supported by the NSF of China（10671047） ; the Foundation of HITC（200713）
作者： 吴开宁[1], 丁德琼[1], 丁效华[1]
关键词： 脉冲延迟差分方程, LYAPUNOV函数, 指数稳定性, impulsive delay difference equation , Lyapunov function , exponential stability
中文摘要：

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。

英文摘要：

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.

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期刊信息
  • 《黑龙江大学自然科学学报》
  • 北大核心期刊（2011版）
  • 主管单位:黑龙江省教育厅
  • 主办单位:黑龙江大学
  • 主编：霍丽华
  • 地址：哈尔滨市学府路74号
  • 邮编：150080
  • 邮箱：hdxb@vip.sohu.com
  • 电话：0451-86608818
  • 国际标准刊号：ISSN：1001-7011
  • 国内统一刊号：ISSN：23-1181/N
  • 邮发代号:14-114
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  • 被引量:4204