Robust stability analysis of uncertain T-S fuzzy systems with time-varying delay by improved delay-partitioning approach
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Authors
Jun Yang
- College of Computer Science, Civil Aviation Flight University of China, Guanghan, Sichuan 618307, P. R. China.
Wen-Pin Luo
- College of Science, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, P. R. China.
Kai-Bo Shi
- Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1.
Xin Zhao
- Postgraduate Department, Civil Aviation Flight University of China, Guanghan, Sichuan, 618307, P. R. China.
Abstract
This paper focuses on the robust stability criteria of uncertain T-S fuzzy systems with time-varying delay
by an improved delay-partitioning approach. An appropriate augmented Lyapunov-Krasovskii functional
(LKF) is established by partitioning the delay in all integral terms. Since the relationship between each
subinterval and time-varying delay has been taken a full consideration, and some tighter bounding inequalities
are employed to deal with (time-varying) delay-dependent integral items of the derivative of LKF,
less conservative delay-dependent stability criteria can be expected in terms of \(e_s\) and LMIs. Finally, two
numerical examples are provided to show that the proposed conditions are less conservative than existing
ones.
Share and Cite
ISRP Style
Jun Yang, Wen-Pin Luo, Kai-Bo Shi, Xin Zhao, Robust stability analysis of uncertain T-S fuzzy systems with time-varying delay by improved delay-partitioning approach, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 1, 171--185
AMA Style
Yang Jun, Luo Wen-Pin, Shi Kai-Bo, Zhao Xin, Robust stability analysis of uncertain T-S fuzzy systems with time-varying delay by improved delay-partitioning approach. J. Nonlinear Sci. Appl. (2016); 9(1):171--185
Chicago/Turabian Style
Yang, Jun, Luo, Wen-Pin, Shi, Kai-Bo, Zhao, Xin. "Robust stability analysis of uncertain T-S fuzzy systems with time-varying delay by improved delay-partitioning approach." Journal of Nonlinear Sciences and Applications, 9, no. 1 (2016): 171--185
Keywords
- T-S fuzzy systems
- time-varying delay
- delay-partitioning approach
- stability
- Lyapunov-Krasovskii functional (LKF)
- linear matrix inequalities (LMIs).
MSC
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