The delay-range-dependent robust stability analysis for 2-D state-delayed systems with uncertainty
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- 作者：Juan Yao (1)
Weiqun Wang (2)
Yun Zou (1) - 关键词：2 ; D state ; delayed systems ; Robust stability ; Linear matrix inequality ; Delay ; range ; dependent
- 刊名：Multidimensional Systems and Signal Processing
- 出版年：2013
- 出版时间：March 2013
- 年：2013
- 卷：24
- 期：1
- 页码：87-103
- 全文大小：581KB
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Weiqun Wang (2)
Yun Zou (1)
1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China
2. Department of Mathematics, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China - ISSN：1573-0824
文摘
This paper addresses the problems of delay-range-dependent stability and robust stability for uncertain two-dimensional (2-D) state-delayed systems in the Fornasini–Machesini second model, with the uncertainty assumed to be of norm bounded form. A generalized Lyapunov function candidate is introduced to prove the stability condition and some free-weighting matrices are used for less conservative conditions. The resulting stability and robust stability conditions in terms of linear matrix inequalities are delay-range-dependent. Some numerical examples are given to illustrate the method.