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Chin. Phys. B, 2014, Vol. 23(4): 040701    DOI: 10.1088/1674-1056/23/4/040701
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Further studies on stability analysis of nonlinear Roesser-type two-dimensional systems

Dai Xiao-Lin
School of Mechanical, Electronic, and Industrial Engineering, University of Electric Science and Technology of China, Chengdu 610054, China
Abstract  This paper is concerned with further relaxations of the stability analysis of nonlinear Roesser-type two-dimensional (2D) systems in the Takagi-Sugeno fuzzy form. To achieve the goal, a novel slack matrix variable technique, which is homogenous polynomially parameter-dependent on the normalized fuzzy weighting functions with arbitrary degree, is developed and the algebraic properties of the normalized fuzzy weighting functions are collected into a set of augmented matrices. Consequently, more information about the normalized fuzzy weighting functions is involved and the relaxation quality of the stability analysis is significantly improved. 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 provided to demonstrate the effectiveness of the proposed result.
Keywords:  stability analysis      Roesser-type two-dimensional system      slack matrix variable      reducing conservatism  
Received:  30 July 2013      Revised:  04 September 2013      Accepted manuscript online: 
PACS:  07.05.Mh (Neural networks, fuzzy logic, artificial intelligence)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61203057 and 51305066).
Corresponding Authors:  Dai Xiao-Lin     E-mail:  www_dxl@126.com,xldai_uest@163.com
About author:  07.05.Mh

Cite this article: 

Dai Xiao-Lin Further studies on stability analysis of nonlinear Roesser-type two-dimensional systems 2014 Chin. Phys. B 23 040701

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