Journal
NEUROCOMPUTING
Volume 142, Issue -, Pages 209-215Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.neucom.2014.04.047
Keywords
Positive 2D systems; T-S fuzzy systems; Delay-dependent stability; l(1)-gain; Co-positive type Lyapunov function
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Funding
- National Natural Science Foundation of China [61273120]
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This paper considers the problems of delay-dependent stability and l(1)-gain analysis for a class of positive two-dimensional (2D) Takagi-Sugeno (T-S) fuzzy linear systems with state delays described by the second FM model. Firstly, the co-positive type Lyapunov function method is applied to establish sufficient conditions of asymptotical stability for the addressed positive 2D T-S fuzzy system. Then, the l(1)-gain performance analysis for the positive 2D T-S fuzzy delayed system is studied. All the obtained results are formulated in the form of linear matrix inequalities (LMIs) which are computationally tractable. Finally, an illustrative example is given to verify the effectiveness of the proposed method. (C) 2014 Elsevier B.V. All rights reserved.
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