References

• 1. 1)
     • 16. Wang, J., Zhang, Q., Xiao, D., et al: ‘Robust stability analysis and stabilisation of uncertain neutral singular systems’, Int. J. Syst. Sci., 2016, 47, (16), pp. 3762–3771.
  2. 2)
     • 12. Zhang, W., Zhao, Y., Sheng, L.: ‘Some remarks on stability of stochastic singular systems with state-dependent noise’, Automatica, 2015, 51, pp. 273–277.
  3. 3)
     • 21. Lv, H., Zhang, Q., Ren, J.: ‘Reliable dissipative control for a class of uncertain singular Markovian jump systems via hybrid impulsive control’, Asian J. Control, 2016, 18, (2), pp. 539–548.
  4. 4)
     • 9. Duan, G.: ‘Analysis and design of descriptor linear systems’ (Springer, New York, 2010).
  5. 5)
     • 42. Chen, W.H., Zhong, J., Zheng, W.: ‘Delay-independent stabilization of a class of time-delay systems via periodically intermittent control’, Automatica, 2016, 71, pp. 89–97.
  6. 6)
     • 19. Chen, W.H., Zheng, W., Lu, X.: ‘Impulsive stabilization of a class of singular systems with time-delays’, Automatica, 2017, 83, pp. 28–36.
  7. 7)
     • 5. Yue, D., Han, Q.: ‘Robust H∞ filter design of uncertain descriptor systems with discrete and distributed delays’, IEEE Trans. Signal Process., 2004, 52, (11), pp. 3200–3212.
  8. 8)
     • 17. Alwan, M.S., Kiyak, H., Liu, X.: ‘Stability properties of switched singular systems subject to impulsive effects’, in Bélair, J., Frigaard, I. A., Kunze, H., Makarov, R., Melnik, R., Spiteri, R. J. (Eds.): ‘Mathematical and computational approaches in advancing modern science and engineering’ (Springer, Cham, 2016), pp. 355–365.
  9. 9)
     • 29. Xie, J., Kao, Y., Zhang, C.H., et al: ‘Quantized control for uncertain singular Markovian jump linear systems with general incomplete transition rates’, Int. J. Control Autom. Syst., 2017, 15, (3), pp. 1107–1116.
  10. 10)
      • 24. Chen, Y., Zheng, W.: ‘Stability analysis and control for switched stochastic delayed systems’, Int. J. Robust Nonlinear Control, 2016, 26, (2), pp. 303–328.
  11. 11)
      • 4. Lewis, F.L.: ‘A survey of linear singular systems’, Circ. Syst. Signal Process., 2007, 22, (1), pp. 3–36.
  12. 12)
      • 43. Wang, B., Cheng, J., Al-Barakati, A., et al: ‘A mismatched membership function approach to sampled-data stabilization for T–S fuzzy systems with time-varying delayed signals’, Signal Process., 2017, 140, pp. 161–170.
  13. 13)
      • 8. Xia, Y., Boukas, E.K., Shi, P., et al: ‘Stability and stabilization of continuous-time singular hybrid systems’, Automatica, 2009, 45, pp. 1504–1509.
  14. 14)
      • 7. Boukas, E.K.: ‘Control of singular systems with random abrupt changes’ (Springer, Berlin, 2008).
  15. 15)
      • 6. Xu, S., Lam, J.: ‘Robust control and filtering of singular systems’ (Springer, Berlin, 2006).
  16. 16)
      • 45. Chen, J., Xu, S., Zhang, B., et al: ‘A note on relationship between two classes of integral inequalities’, IEEE Trans. Autom. Control, 2017, 62, (8), pp. 4044–4049.
  17. 17)
      • 38. Ren, J., Zhang, Q.: ‘Robust normalization and guaranteed cost control for a class of uncertain descriptor systems’, Automatica, 2012, 48, (8), pp. 1693–1697.
  18. 18)
      • 32. Wang, G., Zhang, Q.: ‘Robust control of uncertain singular stochastic systems with Markovian switching via proportional-derivative state feedback’, IET Control Theory Appl., 2012, 6, (8), pp. 1089–1096.
  19. 19)
      • 39. Ren, J., Zhang, Q.: ‘Simultaneous robust normalization and delay-dependent robust H∞ stabilization for singular time-delay systems with uncertainties in the derivative matrices’, Int. J. Robust Nonlinear Control, 2015, 25, pp. 3528–3545.
  20. 20)
      • 41. Wu, M., He, Y., She, J.H.: ‘Stability analysis and robust control of time-delay systems’ (Springer, Berlin, 2010).
  21. 21)
      • 22. Mao, X., Yuan, C.: ‘Stochastic differential equations with Markovian switching’ (Imperial College Press, London, 2006).
  22. 22)
      • 15. Wu, Z., Su, H., Shi, P., et al: ‘Analysis and synthesis of singular systems with time-delays’ (Springer, Berlin, 2013).
  23. 23)
      • 28. Kao, Y., Xie, J., Wang, C., et al: ‘Stabilisation of singular Markovian jump systems with generally uncertain transition rates’, IEEE Trans. Autom. Control, 2014, 59, (9), pp. 2604–2610.
  24. 24)
      • 34. Li, L., Zhang, Q., Li, J., et al: ‘Robust finite-time H∞ control for uncertain singular stochastic Markovian jump systems via proportional differential control law’, IET Control Theory Appl., 2014, 8, (16), pp. 1625–1638.
  25. 25)
      • 37. Lin, C., Wang, Q.G., Lee, T.H.: ‘Robust normalization and stabilization of uncertain descriptor systems with norm-bounded perturbations’, IEEE Trans. Autom. Control, 2005, 50, (4), pp. 515–520.
  26. 26)
      • 23. Zhang, B., Zheng, W., Xu, S.: ‘Filtering of Markovian jump delay systems based on a new performance index’, IEEE Trans. Circuits Syst. Regul. Pap., 2013, 54, (9), pp. 1250–1263.
  27. 27)
      • 30. Jiang, B., Kao, Y., Gao, C., et al: ‘Passification of uncertain singular semi-Markovian jump systems with actuator failures via sliding mode approach’, IEEE Trans. Autom. Control, 2017, 62, (8), pp. 4138–4143.
  28. 28)
      • 14. Shi, P., Wang, H., Lim, C.C.: ‘Network-based event-triggered control for singular systems with quantizations’, IEEE Trans. Ind. Electron., 2016, 63, (2), pp. 1230–1238.
  29. 29)
      • 36. Wang, Y., Shi, P., Wang, Q., et al: ‘Exponential filtering for singular Markovian jump systems with mixed mode-dependent time-varying delay’, IEEE Trans. Circuits Syst. Regul. Pap., 2013, 60, (9), pp. 2440–2452.
  30. 30)
      • 33. Wang, G., Zhang, Q., Yan, X.: ‘Analysis and design of singular Markovian jump systems’ (Springer, Switzerland, 2015).
  31. 31)
      • 13. Feng, Z., Lam, J., Gao, H.: ‘Delay-dependent robust H∞ controller synthesis for discrete singular delay systems’, Int. J. Robust Nonlinear Control, 2011, 21, pp. 1880–1902.
  32. 32)
      • 35. Zhang, Q., Li, L., Yan, X.G., et al: ‘Sliding mode control for singular stochastic Markovian jump systems with uncertainties’, Automatica, 2017, 79, pp. 27–34.
  33. 33)
      • 25. Cheng, J., Park, J.H., Liu, Y., et al: ‘Finite-time H∞ fuzzy control of nonlinear Markovian jump delayed systems with partly uncertain transition descriptions’, Fuzzy Sets Syst., 2017, 314, pp. 99–115.
  34. 34)
      • 20. Shi, S., Zhang, Q., Yuan, Y., et al: ‘Hybrid impulsive control for switched singular systems’, IET Control Theory Appl., 2011, 5, (1), pp. 103–111.
  35. 35)
      • 2. Dai, L.: ‘Singular control systems’ (Springer, Berlin, 1989).
  36. 36)
      • 11. Zhang, Q., Xing, S.: ‘Stability analysis and optimal control of stochastic singular systems’, Optim. Lett., 2014, 208, (6), pp. 1905–1920.
  37. 37)
      • 27. Long, S., Zhong, S., Liu, Z.: ‘Robust stochastic stability for a class of singular systems with uncertain Markovian jump and time-varying delay’, Asian J. Control, 2013, 15, (4), pp. 1102–1111.
  38. 38)
      • 26. Wang, B., Cheng, J., Zhan, J.: ‘A sojourn probability approach to fuzzy-model-based reliable control for switched systems with mode-dependent time-varying delays’, Nonlinear Anal. Hybrid Syst., 2017, 26, pp. 239–253.
  39. 39)
      • 18. Chen, W.H., Jiang, R., Lu, X., et al: ‘H∞ control of linear singular time-delay systems subject to impulsive perturbations’, IET Control Theory Appl., 2016, 11, (3), pp. 420–428.
  40. 40)
      • 10. Lu, R., Dai, X., Du, W., et al: ‘Robust H∞ output feedback control for uncertain stochastic singular systems’. Chinese Control and Decision Conf., 2008, pp. 4344–4349.
  41. 41)
      • 3. Cobb, J.D.: ‘Controllability, observability and duality in singular systems’, IEEE Trans. Autom. Control, 1984, 29, (12), pp. 76–82.
  42. 42)
      • 31. Wang, J., Wang, H., Xue, A., et al: ‘Delay-dependent H∞ control for singular Markovian jump systems with time delay’, Nonlinear Anal. Hybrid Syst., 2013, 8, pp. 1–12.
  43. 43)
      • 1. Singh, S.P., Liu, R.W.: ‘Existence of state equation representation of linear large-scale dynamic systems’, IEEE Trans. Circuit Theory, 1973, 20, (5), pp. 239–246.
  44. 44)
      • 44. Chen, J., Lu, J., Xu, S.: ‘Summation inequality and its application to stability analysis for time-delay systems’, IET Control Theory Appl., 2016, 10, (4), pp. 391–395.
  45. 45)
      • 40. Lv, H., Zhang, Q., Yan, X.: ‘Robust normalization and guaranteed cost control for a class of uncertain singular Markovian jump systems via hybrid impulsive control’, Int. J. Robust Nonlinear Control, 2015, 25, pp. 987–1006.