非线性系统的广义不变原理

Generalized Invariance Principle of Nonlinear Systems

给出了非线性系统Lasalle不变原理的一个推广,并在本质上改进了一个非线性系统相对于闭不变集的渐近 稳定性的判据.最后讨论了非线性系统的积分不变原理.

A generalization of Lasalle invariance principle for nonlinear systems is given. A theorem on asymptotical stability of nonlinear systems with respect to a closed invariant set is established. Furthermore,integral-invariance principles for nonlinear systems are discussed.