吉林大学学报(理学版)Issue(3):445-450,6.DOI:10.13413/j.cnki.jdxblxb.2014.03.08
非线性系统的最小广义Lyapunov函数定理
Minimal Generalized Lyapunov Function Theorems for Nonlinear Systems
摘要
Abstract
Based on Zorn’s lemma and LaSalle’s invariance principle,the existence of the minimal generalized Lyapunov function for nonlinear systems was considered. We developed the minimal generalized Lyapunov function theorems and the minimal strong generalized Lyapunov function theorems for nonlinear dynamical systems.关键词
广义Lyapunov函数/LaSalle不变原理/Zorn引理/偏序/非线性系统Key words
generalized Lyapunov function/LaSalle’s invariance principle/Zorn’s lemma/partial order/nonlinear system分类
数理科学引用本文复制引用
玉强,吴保卫..非线性系统的最小广义Lyapunov函数定理[J].吉林大学学报(理学版),2014,(3):445-450,6.基金项目
国家自然科学基金(批准号:11171197) (批准号:11171197)