Title :
Stability and stabilisation of 2D discrete linear systems with multiple delays
Author :
Paszke, Wojciech ; Gatkowski, Krzysztof ; Lam, James ; Xu, Shengyuan ; Rogers, Eric ; Owens, D.H.
Author_Institution :
Inst. of Control & Comput. Eng., Univ. of Zielona Gora, Poland
Abstract :
In this paper, we study the stability and the stabilisation of 2D discrete linear systems with multiple state delays. All of the new results obtained are based on analysis of the Fornasini-Marchesini state space model with delays and the resulting conditions are given in terms of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the overall approach.
Keywords :
control system analysis; delays; linear matrix inequalities; linear systems; stability; state-space methods; 2D discrete linear systems; Fornasini-Marchesini state space model; LMI; linear matrix inequalities; multiple state delays; stabilisation; stability; Automatic control; Boundary conditions; Control engineering computing; Delay lines; Delay systems; Linear matrix inequalities; Linear systems; Mechanical engineering; Stability; Symmetric matrices;
Conference_Titel :
Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on
Print_ISBN :
0-7803-7761-3
DOI :
10.1109/ISCAS.2003.1205108
