非线性自治系统的半稳定和弱半稳定性(英文)  

Semistability and Weak Semistability for Nonlinear Autonomous Systems

作　　者：玉强[1] 吴保卫[1] 刘丽丽[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《应用数学》2013年第4期756-764,共9页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China (11171197)

摘　　要：研究非线性自治系统的半稳定和弱半稳定性问题.特别的,运用弱半稳定理论结合LaSalle不变原理,获得非线性自治系统半稳定的充分条件.相比已有结论本文结论具有更好地直观性和可行性.几个典型例子表明本方法的有效性.The problem of weak stability and weak semistability analysis for nonlinear autonomoussystems is investigated. Specially, by weak semistability theory and LaSalle＇s invariant principle,sufficient conditions for semistability of nonlinear autonomous systems are founded. By way of illustration, these results of this paper are more tractable and practical for semistability of nonlinear autonomous systems than the existing results in the literature. Several examples are included to show that the proposed method is effective.

关 键 词：半稳定 弱半稳定性 LaSalle不变原理 非线性系统 

分 类 号：O231.2[理学—运筹学与控制论]