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.
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;
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
DOI :
10.1109/ISCAS.2006.1693209
