可分离变量微分自治系统的指数稳定性

Exponential Stability of Differential Autonomous Systems with Separated Variables

利用Lyapunov函数,通过分析技巧,在所给函数为Lipschitz连续的情况下,讨论了可分离 变量系统的平衡点的全局指数稳定性,获得了几个简便代数判据,为实际应用提供了方便.

Based on Lipschitz continuous functions, the globally exponential stability of equilibrium states of a class of nonlinear autonomous systems with separated variables are investigated by means of the analysis technique and some sufficient conditions which are obviously easy to be used,of globally exponential stability for the type of systems are obtained.