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Stability analysis of nonlinear Roesser-type two-dimensional systems via a homogenous polynomial technique
Zhang TieYan; Zhao Yan; Xie XiangPeng
刊名CHINESE PHYSICS B
2012
卷号21期号:12
关键词NONQUADRATIC STABILIZATION CONDITIONS DISCRETE MODEL stability analysis Roesser model two-dimensional nonlinear systems parameter-dependent Lyapunov function
ISSN号1674-1056
其他题名Stability analysis of nonlinear Roesser-type two-dimensional systems via a homogenous polynomial technique
英文摘要This paper is concerned with the problem of stability analysis of nonlinear Roesser-type two-dimensional (2D) systems. Firstly, the fuzzy modeling method for the usual one-dimensional (1D) systems is extended to the 2D case so that the underlying nonlinear 2D system can be represented by the 2D Takagi-Sugeno (TS) fuzzy model, which is convenient for implementing the stability analysis. Secondly, a new kind of fuzzy Lyapunov function, which is a homogeneous polynomially parameter dependent on fuzzy membership functions, is developed to conceive less conservative stability conditions for the TS Roesser-type 2D system. In the process of stability analysis, the obtained stability conditions approach exactness in the sense of convergence by applying some novel relaxed techniques. Moreover, the obtained result is formulated in the form of linear matrix inequalities, which can be easily solved via standard numerical software. Finally, a numerical example is also given to demonstrate the effectiveness of the proposed approach.
资助项目[National Natural Science Foundation of China] ; [Chinese Ministry of Education] ; [Key Technologies R & D Program of Liaoning Province] ; [Program for Liaoning Innovative Research Team in University] ; [Program for Liaoning Excellent Talents in University] ; [Science and Technology Program of Shenyang]
语种英语
CSCD记录号CSCD:4740307
内容类型期刊论文
源URL[http://ir.imr.ac.cn/handle/321006/141602]  
专题金属研究所_中国科学院金属研究所
作者单位中国科学院金属研究所
推荐引用方式
GB/T 7714
Zhang TieYan,Zhao Yan,Xie XiangPeng. Stability analysis of nonlinear Roesser-type two-dimensional systems via a homogenous polynomial technique[J]. CHINESE PHYSICS B,2012,21(12).
APA Zhang TieYan,Zhao Yan,&Xie XiangPeng.(2012).Stability analysis of nonlinear Roesser-type two-dimensional systems via a homogenous polynomial technique.CHINESE PHYSICS B,21(12).
MLA Zhang TieYan,et al."Stability analysis of nonlinear Roesser-type two-dimensional systems via a homogenous polynomial technique".CHINESE PHYSICS B 21.12(2012).
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