A necessary and sufficient condition for robust stability analysis of continuous-time descriptor polytopic systems

被引：0
|
作者：
Gao, Xiangyu [1 ,2 ]
Zhang, Lina [3 ]
机构：
[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
[2] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
[3] Harbin Modern Publ Relat Univ, Harbin 150089, Peoples R China
来源：
PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC) | 2012年
关键词：
Linear matrix inequality; robust stability; descriptor polytopic systems; parameter-dependent Lyapunov function;
D O I：
暂无
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 paper investigates robust stability of continuous-time descriptor polytopic systems (CTDPSs). A necessary and sufficient condition for robust stability is first given as parameterized linear matrix inequalities (LMIs) whose variable matrices are homogeneous polynomial matrices of the multi-parameters. Furthermore, it is shown that the parameterized LMIs is reduced to parameter-independent and finite-dimensional LMIs. Finally, two numerical examples are given, illustrating the effectiveness of the proposed method.
引用
收藏
页码：1127 / 1132
页数：6
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