初始时刻不同的微分系统的稳定性准则

Stability Criteria of Differential Equations with Initial Time Difference

由于向量Lyapunov函数方法在确定初值问题微分系统的稳定性方面比纯量Lyapunov函数更有效,因此,本文利用向量Lyapunov函数方法研究了初始时刻不同的微分系统的稳定性与实用稳定性准则,并给出了一个简单的例子来说明向量Lyapunov函数的有效性.

In this paper, stability and practical stability criteria of differential equations with initial time difference are investigated by using vector Lyapunove functions. The method of vector Lyapunove is more effective than a single Lyapunov function in terms of determining stability of differential equations with initial time difference, and we also give a simple example to illustrate the advantage of vector Lyapunov functions.