LYAPUNOV STABILITY THEORY OF NONSMOOTH SYSTEMS

被引：766

作者：

SHEVITZ, D

PADEN, B

机构：

[1] Mechanical Engineering Department, University of California at Santa Barbara, Santa Barbara

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1994年 / 39卷 / 09期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1109/9.317122

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper develops nonsmooth Lyapunov stability theory and LaSalle's invariance principle for a class of nonsmooth Lipschitz continuous Lyapunov functions and absolutely continuous state trajectories. Computable tests based on Filipov's differential inclusion and Clarke's generalized gradient are derived. The primary use of these results is in analyzing the stability of equilibria of differential equations with discontinuous right-hand side such as in nonsmooth dynamic systems or variable structure control.

引用

页码：1910 / 1914

页数：5

共 14 条

[1]

Aubin J.P., 1984, DIFFERENTIAL INCLUSI, DOI DOI 10.1007/978-3-642-69512-4

[2]

Clarke F.H., 1983, OPTIMIZATION NONSMOO

[3] VARIABLE STRUCTURE CONTROL OF NONLINEAR MULTIVARIABLE SYSTEMS - A TUTORIAL [J].