THE STABILITY CRITERIONS FOR FUZZY DESCRIPTOR SYSTEMS WITH TIME-DELAY

B.Y. Zhu, Q.L. Zhang, and S.C. Tong

References

  1. [1] Y.Y. Cao & P.M. Frank, Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models, Fuzzy Sets and Systems, 124 (2), 2001, 213–229. doi:10.1016/S0165-0114(00)00120-2
  2. [2] L. Dai, Singular control systems. Lecture notes in control and information sciences (Berlin: Springer, 1989).
  3. [3] Q.L. Zhang & D.M.Yang, Analysis and synthesis for uncertain descriptor systems (Shenyang: Northeastern University Press, 2003, in Chinese).
  4. [4] S. Xu, J. Lam & L. Zhang, Robust D-stability analysis for uncertain discrete singular systems with state delay, IEEE Trans. on Circuits and Systems-I: Fundamental Theory and Applications, 49 (4), 2002, 551–555. doi:10.1109/81.995677
  5. [5] S. Xu & J. Lam, Positive real control for uncertain discrete singular systems with state delay, Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms, 9 (3), 2002, 387–402.
  6. [6] K. Tanaka & H.O. Wang, Fuzzy control systems design and analysis: A linear matrix inequality approach (New York: John Wiley and Sons Inc., 2001).
  7. [7] T. Takagi & M. Sugeno, Fuzzy identification of systems and its applications to modeling and control, IEEE Trans. on Systems, Man and Cybernetics, 15 (1), 1985, 116–132.
  8. [8] T. Taniguchi, K. Tanaka & H.O. Wang, Fuzzy descriptor systems and nonlinear model following control, IEEE Trans. on Fuzzy Systems, 8 (4), 2000, 442–452. doi:10.1109/91.868950
  9. [9] D.J. Bender & A.J. Laub, The linear-quadratic opitmal regulator for descriptor systems, IEEE Trans. on Automatic Control, 32 (8), 1987, 672–688. doi:10.1109/TAC.1987.1104694

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