一类滞后型泛函微分方程的稳定性  

Stability of a Class of RDDE

作　　者：张群力[1] 董秀娟 

机构地区：[1]菏泽学院数学系,山东菏泽274015 [2]菏泽高级技工学校,山东菏泽274026

出　　处：《安庆师范学院学报（自然科学版）》2006年第1期33-36,共4页Journal of Anqing Teachers College(Natural Science Edition)

基　　金：菏泽学院科学研究基金(xy05sx01)

摘　　要：基于泛函微分方程稳定性理论,本文对一类滞后型泛函数微分方程的稳定性进行研究,利用函数的可微性构造的二次型矩阵,判断二次型矩阵的正定性和负定性,得到此类泛函微分方程零解稳定的一些新的充分条件。最后,借助实例及仿真结果解释理论的有效性。Based on the stability theory of functional differential equations, the stability of a class of functional differential equations with time-delay, namely, retarded differential difference equations （RDDE）,is dealt with in this paper. In using the derivable property of functions to construct matrices of quadric form to judge whether the matrice is positive or negative definite, new sufficient conditions for the stability of zero solution of this class of RDDE are derived .At last, some simulatin examples are employed to illustrate the validity of the theory.

关 键 词：Lyapunov稳定 V函数 滞后型泛函微分方程 

分 类 号：O175.12[理学—数学]