References

• 1. 1)
     • 28. Xiao, B., Lam, H.K., Song, G., et al: ‘Output-feedback tracking control for interval type-2 polynomial fuzzy-model-based control systems’, Neurocomputing, 2017, 242, pp. 83–95.
  2. 2)
     • 35. Park, M., Kwon, Q., Ryu, J.: ‘Generalized integral inequality: application to time-delay systems’, Appl. Math. Lett., 2018, 77, pp. 6–12.
  3. 3)
     • 9. Ailon, A.: ‘On the design of output feedback for finite and infinite pole assignment in singular systems with application to the control problem of constrainted robots’, Circuits Syst. Signal Process., 1994, 13, (5), pp. 525–544.
  4. 4)
     • 39. Li, Y.D., Lam, H.K., Zhang, L.X.: ‘Control design for interval type-2 polynomial fuzzy-model-based systems with time-varying delay’, IET Control Theory Appl., 2017, 11, (14), pp. 2270–2278.
  5. 5)
     • 43. Zhang, F.F., Zhang, Q.L., Li, J.N.: ‘Networked control for T–S fuzzy descriptor systems with networked-induced delay and packet disordering’, Neurocomputing, 2018, 275, pp. 2264–2278.
  6. 6)
     • 46. Ahmed, E.C., Mohamed, O., Tissir, E.H.: ‘Delay-dependent robust stability criteria for singular time-delay systems by delay-partitioning approach’, Int. J. Syst. Sci., 2018, 49, (14), pp. 2957–2967.
  7. 7)
     • 36. Gassara, H., Kchauo, M., Hajjaji, A.E., et al: ‘Control of time delay fuzzy descriptor systems with actuator saturation’, Circuits Syst. Signal Process., 2014, 33, (12), pp. 3739–3756.
  8. 8)
     • 29. Xiao, B., Lam, H.K., Yu, Y., et al: ‘Sampled-data output-feedback tracking control for interval type-2 polynomial fuzzy systems’, IEEE Trans. Fuzzy Syst., 2020, 28, (3), pp. 424–433.
  9. 9)
     • 4. Chen, J., Lin, C., Chen, B., et al: ‘Regularization and stabilization for rectangular T–S fuzzy discrete-time systems with time delay’, IEEE Trans. Syst. Man Cybern., Syst., 2019, 49, (4), pp. 833–842.
  10. 10)
      • 40. Lam, H.K., Yang, X.Z., Yu, Y., et al: ‘Tracking control design of interval type-2 polynomial-fuzzy-model-based systems with time-varying delay’, Eng. Appl. Artif. Intell., 2018, 75, pp. 76–87.
  11. 11)
      • 5. Feng, Z.G., Lam, J., Gao, H.J.: ‘α-dissipativity analysis of singular time-delay systems’, Automatica, 2011, 47, (11), pp. 2548–2552.
  12. 12)
      • 11. Mao, W.J.: ‘An LMI approach to D-stability and D-stabilization of linear discrete singular systems with state delay’, Appl. Math. Comput., 2011, 218, pp. 1694–1704.
  13. 13)
      • 23. Lam, H.K., Yeung, C.W., Leung, F.H.F.: ‘Stability analysis and performance design for fuzzy-model-based control system under imperfect premise matching’, IEEE Trans. Fuzzy Syst., 2008, 17, (4), pp. 949–961.
  14. 14)
      • 12. Takagi, T., Sugeno, M.: ‘Fuzzy identification of systems and its application to modeling and control’, IEEE Trans. Syst. Man Cybern., 1985, 15, (1), pp. 116–132.
  15. 15)
      • 41. Kchaou, M.: ‘Robust observer-based sliding mode control for nonlinear uncertain singular systems with time-varying delay and input non-linearity’, Eur. J. Control, 2019, 49, pp. 15–25.
  16. 16)
      • 17. Zhang, Y., Jin, Z.H., Zhang, Q.L.: ‘Observer design for a class of T–S fuzzy singular systems’, Adv. Differ. Equ., 2017, 4, pp. 1–19.
  17. 17)
      • 8. Fan, X.F., Zhang, Q.L., Ren, J.C.: ‘Event-triggered sliding mode control for discrete-time singular system’, IET Control Theory Appl., 2018, 12, (17), pp. 2390–2398.
  18. 18)
      • 31. Gu, K., Kharitonov, V., Chen, J.: ‘Stability of time-delay systems’ (Birkhäuser, Boston, MA, 2003).
  19. 19)
      • 1. Xu, S.Y., Lam, J.: ‘Robust control and filtering of singular systems’ (Springer, Berlin, 2006).
  20. 20)
      • 21. Lam, H.K., Seneviratne, L.D.: ‘Stability analysis of interval type-2 fuzzy-model-based control systems’, IEEE Trans. Syst. Man Cybern. B, Cybern., 2008, 38, (2), pp. 617–628.
  21. 21)
      • 25. Feng, Z.G., Shi, P.: ‘Admissibilization of singular interval-valued fuzzy systems’, IEEE Trans. Fuzzy Syst., 2017, 25, (6), pp. 2264–2278.
  22. 22)
      • 6. Lam, J., Shu, J., Boukas, E.K.: ‘Robust H∞ control of descriptor discrete-time Markovian systems’, Int. J. Control, 2007, 79, (7), pp. 805–812.
  23. 23)
      • 14. Ma, Y.C., Yang, P.J., Zhang, Q.L.: ‘Robust H∞ control for uncertain singular deiscrete T–S fuzzy time-delay systems with actuator saturation’, J. Franklin Inst., 2016, 353, pp. 3290–3311.
  24. 24)
      • 15. Mu, Y.F., Zhang, H.G., Sun, S.X., et al: ‘Robust non-fragile proportional plus derivative state feedback control for a class of uncertain Takagi–Sugeno fuzzy singular systems’, J. Franklin Inst., 2019, 356, pp. 6208–6225.
  25. 25)
      • 3. Lin, C., Chen, J., Chen, B., et al: ‘Stabilization for a class of rectangular descriptor systems via time delayed dynamic compensator’, J. Franklin Inst., 2019, 356, pp. 1944–1954.
  26. 26)
      • 13. Wang, H.J., Zhou, B., Lu, R.Q., et al: ‘New stability and stabilization criteria for a class of fuzzy singular systems with time-varying delay’, J. Franklin Inst., 2014, 351, pp. 3766–3781.
  27. 27)
      • 16. Sun, C., Wang, F.L., He, X.Q.: ‘Robust fault estimation for a class of T–S fuzzy singular systems with time-varying delay via improved delay partitioning method’, J. Control Sci. Eng., 2016, 2, pp. 1–15.
  28. 28)
      • 30. Park, P.: ‘A delay-dependent stability criterion for systems with uncertain time-invariant delays’, IEEE Trans. Autom. Control, 1999, 44, (4), pp. 876–877.
  29. 29)
      • 24. Lam, H.K.: ‘A review on stability analysis of continuous-time fuzzy-model-based control systems: from membership-function-independent to membership-function-dependent analysis’, Eng. Appl. Artif. Intell., 2018, 67, pp. 390–408.
  30. 30)
      • 42. Uezato, E., Ikeda, M.: ‘Strict LMI conditions for stability, robust stabilization, and H∞ control of descriptor systems’. Proc. IEEE Conf. on Decision Control, Phoenix, Arizona, USA, December 1999, pp. 4092–4097.
  31. 31)
      • 22. Lam, H.K., Li, H.Y., Deters, C., et al: ‘Control design for interval type-2 fuzzy systems under imperfect premise matching’, IEEE Trans. Ind. Electron., 2014, 61, (2), pp. 956–968.
  32. 32)
      • 2. Haidar, A., Boukas, M.E.K.: ‘Exponential stability of singular systems with multiple time-varying delays’, Automatica, 2009, 45, pp. 539–545.
  33. 33)
      • 32. Seuret, A., Gouaisbaut, F.: ‘Wirtinger-based integral inequality: application to time-delay systems’, Automatica, 2013, 49, pp. 2860–2866.
  34. 34)
      • 44. Zhang, C.K., He, Y., Jiang, L., et al: ‘Notes on stability of time-delay systems: bounding inequalities and augmented Lyapunov–Krasovskii functionals’, IEEE Trans. Autom. Control., 2017, 62, (10), pp. 5331–5336.
  35. 35)
      • 33. Park, P., Lee, W., Lee, S.: ‘Auxiliary function-based integral/summation inequalities: application to continuous/discrete time-delay systems’, Int. J. Control, 2016, 14, (1), pp. 3–11.
  36. 36)
      • 38. Yue, D., Tian, E.G., Zhang, Y.J., et al: ‘Delay-distribution-dependent stability and stabilization of T–S fuzzy systems with probabilistic interval delay’, IEEE Trans. Syst. Man Cybern. B, Cybern., 2009, 39, (2), pp. 503–516.
  37. 37)
      • 26. Li, H.Y., Sun, X.J., Wu, L.G., et al: ‘State and output feedback control of interval type-2 fuzzy systems with mismatched membership functions’, IEEE Trans. Fuzzy Syst., 2015, 23, (6), pp. 1943–1957.
  38. 38)
      • 27. Xiao, B., Lam, H.K., Li, H.Y.: ‘Stabilization of interval type-2 polynomial-fuzzy-model-based control systems’, IEEE Trans. Fuzzy Syst., 2017, 25, (1), pp. 205–217.
  39. 39)
      • 45. Liu, G.B.: ‘New results on stability analysis of singular time-delay systems’, Int. J. Syst. Sci., 2017, 48, (7), pp. 1395–1403.
  40. 40)
      • 7. Feng, Z.G., Lam, J.: ‘On reachable set estimation of singular systems’, Automatica, 2015, 52, pp. 146–153.
  41. 41)
      • 10. Su, X.M., Zhang, Q.L.: ‘Periodic time varying descriptor systems’ (Science Press, Beijing, 2006).
  42. 42)
      • 37. Liu, Y.J., Park, J.H., Guo, B.Z.: ‘Results on stability of linear systems with time varying delay’, IET Control Theory Appl., 2017, 11, (1), pp. 129–134.
  43. 43)
      • 34. Seuret, A., Gouaisbaut, F.: ‘Hierarchy of LMI conditions for the stability analysis of time-delay systems’, Syst. Control Lett., 2015, 81, pp. 1–7.
  44. 44)
      • 18. Zhang, D., Zhang, Q.L.: ‘Sliding mode control for T–S fuzzy singular semi-Markovian jump system’, Nonlinear Anal. Hybrid Syst., 2018, 30, pp. 72–91.
  45. 45)
      • 19. Kchaou, M., Hamdi, G., Ahmed, E.: ‘Adaptive sliding mode control for fuzzy singular systems with time delay and input nonlinearity’, Int. J. Adapt. Control, 2018, 32, pp. 464–479.
  46. 46)
      • 47. Zheng, M.J., Yang, S.H., Li, L.N.: ‘Sliding model control for fuzzy Markovian jump singular systems with time-varying delay’, Int. J. Control Autom. Syst., 2019, 17, (7), pp. 1677–1686.
  47. 47)
      • 20. Yang, P.J., Ma, Y.C., Yang, F.M., et al: ‘Passivity control for uncertain singular discrete T–S fuzzy time-delay systems subject to actuator saturation’, Int. J. Syst. Sci., 2018, 49, (8), pp. 1627–1640.