4.6 Article

Improved Stability Condition for Takagi-Sugeno Fuzzy Systems With Time-Varying Delay

Journal

IEEE TRANSACTIONS ON CYBERNETICS
Volume 47, Issue 3, Pages 661-670

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2016.2523544

Keywords

Reciprocally convex combination; Takagi-Sugeno (T-S) fuzzy systems; time-varying delay

Funding

  1. National Natural Science Foundation of China [61304063]
  2. Key Laboratories Program of Liaoning Province [LZ2015001]
  3. Australian Research Council [DP120104986]

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In this paper, the stability analysis problem of Takagi-Sugeno fuzzy systems with time-varying delay is investigated. By utilizing the Wirtinger-based integral inequality and the improved reciprocally convex combination technique, an improved stability condition is derived in terms of linear matrix inequalities. A numerical example is given to demonstrate the efficiency of the obtained result.

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