摘要
探讨了一类多变时滞积分微分动力系统,并通过不动点方法给出了该系统零解渐近稳定的充要条件.在构造算子时,根据动力系统时滞特点,分别引入对应的连续函数h_i(s),i=1,2,…,n,然后利用这n个函数来构造算子,最后再利用Banach不动点方法来研究该动力系统的稳定性.
In this paper, a class of dynamic Integro differential dynamical systems with time-varying delays is discussed. The necessary and sufficient conditions for the asymptotic stability of the zero solution of the system are obtained by using the fixed point method. Some continuous functions h_i(s), i=1,2,…,n are introduced according to the characteristics of the dynamic system with delays, and then these functions are used to construct the operator. Finally, the Banach fixed point method is used to study the stability of the dynamic system.
引文
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