摘要
首次提出了切换对称组合系统的概念,研究了此类系统在任意切换下渐近稳定的条件,同时分别利用多李雅普诺夫函数方法和单李雅普诺夫函数方法,给出使切换对称组合系统渐近稳定的切换律,利用切换对称组合系统的结构特点,使其切换律的设计条件得到简化。
A new class of symmetric composite systems is proposed. These systems are composed of linear switched subsystems with similar dynamics interconnected in a symmetrical fashion. A sufficient condition of the stability of this system for arbitrary switching is obtained. Two kinds of constructive switching laws under which the switched symmetric composite systems are stable are also provided. All the conclusions are simplified by using the structural properties.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2003年第3期441-444,共4页
Control Theory & Applications
基金
国家自然科学基金(60274009)
高等学校博士学科点专项科研基金(20020145007)