Delay-dependent stability condition for uncertain linear 2-D state-delayed systems

被引:0
|
作者
Paszke, Wojciech [1 ]
Lam, James [2 ]
Galkowski, Krzysztof [1 ]
Xu, Shengyuan [3 ]
Kummert, Anton [4 ]
机构
[1] Univ Zielona, Inst Control & Computat Engn, Ul Podgorna 50, PL-65246 Zielona, Gora, Poland
[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
[3] Nanjing Univ Sci & Technol, Dept Automat, Nanjing 210094, Peoples R China
[4] Univ Wuppertal, Fac Elect Informat & Media Engn, D-42119 Wuppertal, Germany
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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 addresses the problem of robust stability for uncertain two-dimensional systems with delays in the state. The uncertainty is assumed to be of norm-bounded form. 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 illustrative example is given to illustrate the theoretical developments.
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页码:2787 / +
页数:2
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