非线性广义系统的Lagrange稳定性

摘要

This paper considers the problem of Lagrange stability of nonlinear descriptor systems.In analogy with the stability in Lagrange sense of conventional nonlinear systems,the corresponding Lagrange stability definitions of nonlinear descriptor systems are introduced.By making use of class functions and Dini derivative,sufficient conditions respectively are provided for nonlinear descriptor systems to be Lagrange stable,equi-Lagrange stable or uniformly Lagrange stable.%研究非线性广义系统的Lagrange稳定性问题.类似于正常非线性系统的Lagrange稳定性概念,给出非线性广义系统相应的Lagrange稳定性定义.利用K∞类函数和Dini导数,分别得到非线性广义系统Lagrange稳定、等度La-grange稳定或一致Lagrange稳定的充分条件.