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New Stability Criterion for Continuous-Time Takagi–Sugeno Fuzzy Systems With Time-Varying Delay

Published on Apr 1, 2019in IEEE Transactions on Systems, Man, and Cybernetics7.351
· DOI :10.1109/tcyb.2018.2801795
Likui Wang3
Estimated H-index: 3
(Nanchang Hangkong University),
Hak-Keung Lam46
Estimated H-index: 46
('KCL': King's College London)
Abstract
In this technical paper, a new Lyapunov–Krasovskii functional (LKF) is designed to study the stability of continuous-time Takagi–Sugeno fuzzy systems with time-varying delay. The integrand of the LKF depends on integral variable and time {t} which can help to reduce the number of linear matrix inequalities (LMIs). Then, a new stability criterion is derived by analyzing the sign of the time derivatives of membership functions. Compared with the existing results, larger delay bounds can be obtained by applying the new criterion. In the end, two examples show the effectiveness of the conclusions.
  • References (19)
  • Citations (10)
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