摘要
对一类无限维关联系统引入弦稳定概念· 系统弦稳定意谓着 ,当关联系统的初始状态为有界时 ,对任意时刻系统的状态也是有界的· 本文将向量 V函数法推广到无限维系统中 ,得到了关联系统渐近弦稳定的充分条件 ,克服了以前的方法在处理非线性系统的稳定性问题上的困难 。
The notion of string stability of a countably infinite interconnection of a class of nonlinear system was introduced. Intuitively, string stability implies uniform boundedness of all the states of the interconnected system for all time if the initial states of the interconnected system are uniformly bounded. Vector V_function method used to judge the stability is generalized for infinite interconnected system and sufficient conditions which guarantee the asymptotic string stability of a class of interconnected system are given. The stability regions obtained here are much larger than those in previous papers. The method given here overcomes some difficulties to deal with stability of infinite nonlinear interconnected system in previous papers.
出处
《应用数学和力学》
EI
CSCD
北大核心
2000年第7期715-720,共6页
Applied Mathematics and Mechanics
基金
国家自然科学基金!资助项目 (5993510 0 )
关键词
无限维
关联系统
向量V函数法
弦稳定性
infinite_dimension
interconnected system
vector V_function method
string stability
