DocumentCode
2542464
Title
Delay-dependent stability of 2D state-delayed linear systems
Author
Paszke, Wojciech ; Lam, James ; Galkowski, Krzysztof ; Xu, Shengyuan ; Rogers, Eric ; Kummert, Anton
Author_Institution
Inst. of Control & Comput. Eng., Zielona Gora Univ.
fYear
2006
fDate
21-24 May 2006
Abstract
This paper addresses the problem of stability for two-dimensional systems with delays in the state. To solve this problem, the Lyapunov second method is used. The resulting condition is written in terms of linear matrix inequalities and it is dependent on the size of delays. This fact allows us to reduce the conservatism in the stability analysis of two-dimensional systems with state delays. A simulation example is given to illustrate the theoretical developments
Keywords
Lyapunov matrix equations; delay systems; linear matrix inequalities; linear systems; multidimensional systems; stability; 2D state-delayed linear systems; Lyapunov second method; delay-dependent stability; linear matrix inequalities; stability analysis; Automatic control; Control engineering computing; Control systems; Delay lines; Delay systems; Linear matrix inequalities; Linear systems; Mechanical engineering; Stability; Symmetric matrices;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 2006. ISCAS 2006. Proceedings. 2006 IEEE International Symposium on
Conference_Location
Island of Kos
Print_ISBN
0-7803-9389-9
Type
conf
DOI
10.1109/ISCAS.2006.1693209
Filename
1693209
Link To Document