DocumentCode
1219701
Title
Quadratic stability and stabilization of dynamic interval systems
Author
Mao, Wei-Jie ; Chu, Jian
Author_Institution
Inst. of Adv. Process Control, Zhejiang Univ., Hangzhou, China
Volume
48
Issue
6
fYear
2003
fDate
6/1/2003 12:00:00 AM
Firstpage
1007
Lastpage
1012
Abstract
This note presents necessary and sufficient conditions for the quadratic stability and stabilization of dynamic interval systems. The results are obtained in terms of linear matrix inequalities (LMIs) and extended to the quadratic stability and stabilization of linear systems with uncertain parameters. With the powerful LMI toolbox, it is very convenient to solve these problems. The illustrative examples show that this method is effective and less conservative to check the robust stability and to design the stabilizing controller for dynamic interval systems.
Keywords
Lyapunov methods; linear matrix inequalities; linear systems; stability; dynamic interval systems; linear matrix inequality; parametric uncertain systems; quadratic stability; robust stability; stabilizing controller; Control systems; Industrial control; Linear matrix inequalities; Linear systems; Polynomials; Robust stability; Robustness; Stability analysis; Sufficient conditions; Two dimensional displays;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2003.812784
Filename
1205194
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