基于广义测度函数的微分系统稳定性分析

Stability Analysis of Differential Systems with a Generalized Measuring Function

给出一种利用广义测度函数研究微分系统平衡位置稳定性和渐近稳定性的新方法。该方法避免构造备选李雅普诺夫函数所带来的困难,同时该方法也适用于研究微分系统零解的稳定性问题。最后,用例子验证本文结论的有效性。

This paper gives the sufficient conditions to the stability and asymptotic stability of a differential system by generalized measuring function, which also can be used in the study of stability for the zero solution. This new method can avoid the difficulty in constructing the Lyapunov function. At last, the conclusion is verified by a simple example.