Stability analysis for linear systems under state constraints

被引：58
|
作者：
Fang, HJ [1 ]
Lin, ZL [1 ]
机构：
[1] Univ Virginia, Dept Elect & Comp Engn, Charlottesville, VA 22904 USA
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2004年 / 49卷 / 06期
基金：
美国国家科学基金会;
关键词：
nonlinear systems; stability; state constraints; state saturation;
D O I：
10.1109/TAC.2004.829614
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This note revisits the problem of stability analysis for linear systems under state constraints. New and less conservative sufficient conditions are identified under which such systems are globally asymptotically stable. Based on these sufficient conditions, iterative linear matrix inequality (LMI) algorithms are proposed for testing global asymptotic stability of the system. In addition, these iterative LMI algorithms can be adapted for the design of globally stabilizing state feedback gains.
引用
收藏
页码：950 / 955
页数：6
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