摘要
本文研究了具多个非线性反馈项的一般Lurie控制系统的绝对稳定性问题,由Lyapunov函数方法,得出了绝对稳定的新的充分必要条件和一些实用的充分条件,这些条件推广了集合稳定性.一个数值例子说明了本文结果的有效性.
In this paper, the problem of absolute stability for general Lurie control systems with multi-nonlinear feedback terms is investigated. Prom the Lyapunov function approach, new necessary and sufficient conditions and some practical sufficient conditions of absolute stability are derived, which improve absolute stability for the set. A numerical example illustrates the effectiveness of the proposed results.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
2004年第1期203-208,共6页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金资助项目(19871005)
国家教委博士点基金资助项目(1999000722)