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2012 Delay-Range-Dependent Stability Criteria for Takagi-Sugeno Fuzzy Systems with Fast Time-Varying Delays
Pin-Lin Liu
J. Appl. Math. 2012: 1-20 (2012). DOI: 10.1155/2012/475728


The problem of delay-range-dependent stability for T-S fuzzy system with interval time-varying delay is investigated. The constraint on the derivative of the time-varying delay is not required, which allows the time delay to be a fast time-varying function. By developing delay decomposition approach, integral inequalities approach (IIA), and Leibniz-Newton formula, the information of the delayed plant states can be taken into full consideration, and new delay-dependent sufficient stability criteria are obtained in terms of linear matrix inequalities (LMIs) which can be easily solved by various optimization algorithms. Simulation examples show resulting criteria outperform all existing ones in the literature. It is worth pointing out that our criteria are carried out more efficiently for computation and less conservatism of the proposed criteria.


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Pin-Lin Liu. "Delay-Range-Dependent Stability Criteria for Takagi-Sugeno Fuzzy Systems with Fast Time-Varying Delays." J. Appl. Math. 2012 1 - 20, 2012.


Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1251.93073
MathSciNet: MR2965695
Digital Object Identifier: 10.1155/2012/475728

Rights: Copyright © 2012 Hindawi


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