Absolute Stability of General Lurie Control Systems with Multi-Nonlinear Feedback Terms

作     者：Zuo Xin GAN Wei Gao GE Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China 

作者机构：Institute of Systems Science Chinese Academy of Sciences Beijing 100080 P. R. China Department of Applied Mathematics Beijing Institute of Technology Beijing 100081 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2001年第17卷第4期

页      面：649-656页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 0701[理学-数学] 071101[理学-系统理论] 0811[工学-控制科学与工程] 

基　　金：The project is supported by the National Natural Science Foundation of China (No. 19871005) the Foundation of Doctoral Programme of the Educational Ministry of China (No. 1999000722) 

主　　题：General Lurie system Multi-nonlinear feedback Absolute stability 

摘      要：In this paper, the problenl of absohlte stability for general Lurie control systems with multi- nonlinear feedback terms is investigated. From the Lyapunov function approach. new necessary and sufficient conditious and some practical sufficient conditions of absolute stability are derived. which improve the absolute stability for the set. A numerical examplc illustrates the effectiveness of the proposed results.