Passivity Criterion of Stochastic T-S Fuzzy Systems with Time-Varying Delays

1. Takagi, T., Sugeno, M.: Fuzzy Identification of Systems and Its Applications to Modeling and Control. IEEE Transactions on Systems, Man and Cybernetics 15, 116–132 (1985)

   Article  MATH  Google Scholar 

2. Cao, Y., Frank, P.M.: Stability Analysis and Synthesis of Nonlinear Time-Delay Systems Via Linear Takagi-Sugeno Fuzzy Models. Fuzzy Sets and Systems 124, 213–229 (2001)

   Article  MathSciNet  MATH  Google Scholar 

3. Liu, F., Wu, M., He, Y., Yokoyama, R.: New Delay-Dependent Stability Criteria for T-S Fuzzy Systems with Time-Varying Delay. Fuzzy Sets and Systems 161, 2033–2042 (2010)

   Article  MathSciNet  MATH  Google Scholar 

4. Kwon, O., Park, M., Lee, S., Park, J.: Augmented Lyapunov-Krasovskii Functional Approaches to Robust Stability Criteria for Uncertain Takagi-Sugeno Fuzzy Systems with Time-Varying Delays. Fuzzy Sets and Systems 201, 1–19 (2012)

   Article  MathSciNet  MATH  Google Scholar 

5. Wang, Z., Ho, D.W.C., Liu, X.: A Note on The Robust Stability of Uncertain Stochastic Fuzzy Systems with Time-Delays. IEEE Transactions on Systems, Man, and Cybernetics, Part A 34, 570–576 (2004)

   Article  Google Scholar 

6. Senthilkumar, T., Balasubramaniam, P.: Delay-Dependent Robust H _∞ Control for Uncertain Stochastic T-S Fuzzy Systems with Time-Varying State and Input Delays. International Journal of Systems Science 42(5), 877–887 (2011)

   Article  MathSciNet  MATH  Google Scholar 

7. Mahmoud, M.S., Ismail, A.: Passivity and Passification of Time-Delay Systems. Journal of Mathematical Analysis and Applications 292, 247–258 (2004)

   Article  MathSciNet  MATH  Google Scholar 

8. Park, J.H.: Further Results on Passivity Analysis of Delayed Cellular Neural Networks. Chaos, Solitons and Fractals 34, 1546–1551 (2007)

   Article  MathSciNet  MATH  Google Scholar 

9. Calcev, G.: Passivity Approach to Fuzzy Control Systems. Automatica 33(3), 339–344 (1998)

   Article  MathSciNet  Google Scholar 

10. Li, C., Zhang, H., Liao, X.: Passivity and Passification of Fuzzy Systems with Time Delays. Computers and Mathematics with Applications 52, 1067–1078 (2006)

    Article  MathSciNet  MATH  Google Scholar 

11. Chang, W., Ku, C., Huang, P.: Robust Fuzzy Control for Uncertain Stochastic Time-Delay Takagi-Sugeno Fuzzy Models for Achieving Passivity. Fuzzy Sets and Systems 161, 2012–2032 (2010)

    Article  MathSciNet  MATH  Google Scholar 

12. Liang, J., Wang, Z., Liu, X.: On Passivity and Passification of Stochastic Fuzzy Systems with Delays: The Discrete-Time Case. IEEE Transactions on Systems, Man, and Cybernetics, Part B 40, 964–969 (2010)

    Article  Google Scholar 

13. Zhang, B., Zheng, W., Xu, S.: Passivity Analysis and Passive Control of Fuzzy Systems with Time-Varying Delays. Fuzzy Sets and Systems 174, 83–98 (2011)

    Article  MathSciNet  MATH  Google Scholar 

14. Song, Q., Wang, Z., Liang, J.: Analysis on Passivity and Passification of T-S Fuzzy Systems with Time-Varying Delays. Journal of Intelligent & Fuzzy Systems 24, 21–30 (2013)

    MathSciNet  Google Scholar 

15. Song, Q., Cao, J.: Global Dissipativity Analysis on Uncertain Neural Networks with Mixed Time-varying Delays. Chaos 18, 043126 (2008)

    Article  MathSciNet  Google Scholar 

16. Yu, J., Zhang, K., Fei, S.: Further Results on Mean Square Exponential Stability of Uncertain Stochastic Delayed Neural Networks. Communications in Nonlinear Science and Numerical Simulation 14, 1582–1589 (2009)

    Article  MathSciNet  MATH  Google Scholar 

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