一类具有时滞的变系数微分系统的指数稳定性及周期解的存在性

Exponential Stability and Existence of Periodic Solution of a Kind of Differential System with Delay and Varible Coefficient

通过构造具有指数函数因式的V泛函,研究了一类具时滞的变系数非线性微分系统,得到了该系统的全局指数稳定性和周期解存在的充分条件。

By constructing V functional with exponential function factor, a class of nonlinear differential system with delay and varible coefficient is researched. Sufficient conditions for global exponential stability and existence of periodic solution of this system are obtained.