Improved Delay-Dependent Stability of Nonlinear Quadratic TS Fuzzy Systems
2019 ◽
Vol 29
(09)
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pp. 2050134
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Keyword(s):
This paper focuses on the problem of delay-dependent stability for nonlinear quadratic Takagi–Sugeno (TS) fuzzy systems with time-varying delay using the input–output approach. The results are based on the model transformation by employing a three-terms approximation of delayed state vector. By applying the scaled small-gain theorem and Lyapunov–Krasovskii functional, the stability criteria is obtained in terms of linear matrix inequalities. Furthermore, the Wirtinger-based integral inequality approach has been employed to derive less conservative results. Finally, the numerical examples are provided to demonstrate the effectiveness of the obtained results and for comparison with previous work.
2014 ◽
Vol 136
(2)
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Keyword(s):
New Stability Analysis for Linear Systems with Time-Varying Delay Based on Combined Convex Technique
2015 ◽
Vol 2015
◽
pp. 1-9
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Keyword(s):
2015 ◽
Vol 64
(6)
◽
pp. 891-899
Keyword(s):
2013 ◽
Vol 389
◽
pp. 471-476
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2011 ◽
Vol 181-182
◽
pp. 325-329
2012 ◽
Vol 516-517
◽
pp. 1391-1395