References

• 1. 1)
     • 4. Cong, S., Sheng, Z.-B.: ‘On exponential stability conditions of descriptor systems with time-varying delay’, J. Appl. Math., 2012, article no. 532912, doi: 10.1155/2012/532912.
  2. 2)
     • 21. Xu, S., Lam, J., Zou, Y.: ‘An improved characterization of bounded realness for singular delay systems and its application’, Int. J. Robust Nonlinear Control, 2008, 18, (3), pp. 263–277 (doi: 10.1002/rnc.1215).
  3. 3)
     • 50. Wu, M., He, Y., She, J.H., Liu, G.P.: ‘Delay-dependent criteria for robust stability of time-varying delay systems’, Automatica, 2004, 40, pp. 1435–1439 (doi: 10.1016/j.automatica.2004.03.004).
  4. 4)
     • 20. Wu, Z.G., Su, H.Y., Chu, J.: ‘Delay-dependent robust exponential stability of uncertain singular systems with time delays’, Int. J. Innov. Comput. Inf. Control, 2010, 6, (5), pp. 2275–2283.
  5. 5)
     • 17. Sun, Y.J.: ‘Stability criterion for a class of descriptor systems with discrete and distributed time delays’, Chaos Solitans Fractals, 2007, 33, (3), pp. 986–993 (doi: 10.1016/j.chaos.2006.01.067).
  6. 6)
     • 19. Wu, Z., Shi, P., Su, H., Chu, J.: ‘Delay-dependent stability analysis for discrete-time singular Markovian jump systems with time-varying delay’, Int. J. Syst. Sci., 2012, 43, (11), pp. 2095–2106 (doi: 10.1080/00207721.2011.564327).
  7. 7)
     • 14. Shu, Z., Lam, J.: ‘Exponential estimates and stabilization of uncertain singular systems with discrete and distributed delays’, Int. J. Control, 2008, 81, (6), pp. 865–882 (doi: 10.1080/00207170701261986).
  8. 8)
     • 1. Xu, S., Lam, J.: ‘Robust control and filtering of singular systems’ (Springer, Berlin, 2006).
  9. 9)
     • 18. Wu, Z., Su, H., Chu, J.: ‘Delay-dependent robust exponential stability of uncertain singular systems with time delays’, Int. J. Innov. Comput. Inf. Control, 2010, 6, (5), pp. 2275–2284.
  10. 10)
      • 51. Xu, S., Lam, J.: ‘Improved delay-dependent stability criteria for time-delay systems’, IEEE Trans. Autom. Control, 2005, 50, (3), 384–387 (doi: 10.1109/TAC.2005.843873).
  11. 11)
      • 53. Gu, K., Kharitonov, V.L., Chen, J.: ‘Stability of time-delay systems’ (Boston: Birkhauser, 2003).
  12. 12)
      • 32. Yue, D., Won, S.: ‘An improvement on ‘delay and its time-derivative delay robust stability of time-delayed linear systems with uncertainty’, IEEE Trans. Autom. Control, 2002, 47, (2), pp. 407–408 (doi: 10.1109/9.983390).
  13. 13)
      • 15. Sun, J., Liu, G.P., Chen, J., Rees, D.: ‘Improved stability criteria for linear systems time-varying delay’, IET Control Theory Appl., 2010, 4, (2), pp. 683–689 (doi: 10.1049/iet-cta.2008.0508).
  14. 14)
      • 47. Li, X., De Souza, C.E.: ‘Delay-dependent stability robust stability and stabilization of uncertain linear delay systems: a linear matrix inequality approach’, IEEE Trans. Autom. Control, 1997, 42, (8), pp. 1144–1148 (doi: 10.1109/9.618244).
  15. 15)
      • 39. Haidar, A., Boukas, E.K., Xu, S., Lam, J.: ‘Exponential stability and static output feedback stabilisation of singular time-delay systems with saturating actuators’, IET-Control Theory Appl., 2009, 3, (9), pp. 1293–1305 (doi: 10.1049/iet-cta.2008.0212).
  16. 16)
      • 9. Liu, P.-L.: ‘Further results on the exponential stability criteria for time delay singular systems with delay-dependence’, Int. J. Innov. Comput. Inf. Control, 2012, 8, (6), pp. 4015–4024.
  17. 17)
      • 48. Park, P.G., Ko, J.W.: ‘Stability and robust stability for systems with a time-varying delay’, Automatica, 2007, 43, (10), pp. 1855–1858 (doi: 10.1016/j.automatica.2007.02.022).
  18. 18)
      • 3. Boukas, E.K., Xu, S., Lam, J.: ‘On stability and stabilizability of singular stochastic systems with delays’, J. Optim. Theory Appl., 2005, 127, (2), pp. 249–262 (doi: 10.1007/s10957-005-6538-5).
  19. 19)
      • 12. Ma, S., Cheng, Z., Zhang, C.: ‘Delay-dependent robust stability and stabilization for uncertain discrete singular systems with time-varying delays’, IET Control Theory Appl., 2007, 1, (4), pp. 1086–1095 (doi: 10.1049/iet-cta:20060131).
  20. 20)
      • 24. Zhang, D., Yu, L., Wang, Q.G., Ong, C.J., Wu, Z.G.: ‘Exponential H∞ filtering for discrete-time switched singular systems with time-varying delays’, J. Franklin Inst., 2012, 349, (7), pp. 2323–2342 (doi: 10.1016/j.jfranklin.2012.04.006).
  21. 21)
      • 38. Haidar, A., Boukas, E.K.: ‘Exponential stability of singular systems with multiple time-varying delays’, Automatica, 2009, 45, (2), pp. 539–545 (doi: 10.1016/j.automatica.2008.08.019).
  22. 22)
      • 33. Yue, D., Han, Q.-L.: ‘Delay-dependent robust H∞ controller design for uncertain descriptor systems with time-varying discrete and distributed delays’, IEE Proc., Control Theory Appl., 2005, 152, (6), pp. 628–638 (doi: 10.1049/ip-cta:20045293).
  23. 23)
      • 11. Lu, R.Q., Dai, X.Z., Su, H.Y., Chu, J., Xue, A.K.: ‘Delay-dependent robust stability and stabilization conditions for a class of Lur's singular time-delay systems’, Asian J. Control, 2008, 10, (4), pp. 462–469 (doi: 10.1002/asjc.46).
  24. 24)
      • 25. Zhu, S.Q., Meng, M., Zhang, C.H.: ‘Exponential stability for positive systems with bounded time-varying delays and static output feedback stabilization’, J. Franklin Inst., 2013, 350, (3), pp. 617–636 (doi: 10.1016/j.jfranklin.2012.12.022).
  25. 25)
      • 43. Jiang, X.F., Han, Q.-L.: ‘Delay-dependent robust stability for uncertain linear systems with interval time-varying delay’, Automatica, 2006, 42, (6), pp. 1059–1065 (doi: 10.1016/j.automatica.2006.02.019).
  26. 26)
      • 27. Zhu, S.Q., Li, Z., Zhang, C.H.: ‘Delay-decomposition approach to delay-dependent stability for singular time-delay systems’, IET-Control Theory Appl., 2010, 4, (11), pp. 2613–2620 (doi: 10.1049/iet-cta.2009.0426).
  27. 27)
      • 42. He, Y., Wang, Q.-G., Lin, C., Wu, M.: ‘Delay-range-dependent stability for systems with time-varying delay’, Automatica, 2007, 43, (2), pp. 371–376 (doi: 10.1016/j.automatica.2006.08.015).
  28. 28)
      • 52. Yue, D., Tian, E., Zhang, Y., Peng, C.: ‘Delay-distribution-dependent stability and stabilization of T–S fuzzy systems with probabilistic interval delay’, IEEE Trans. Syst., Man Cybern. B, 2009, 39, (2), pp. 503–516 (doi: 10.1109/TSMCB.2008.2007496).
  29. 29)
      • 22. Xu, S., Dooren, P.V., Stefan, R., Lam, J.: ‘Robust stability and stabilization for singular systems with state delay and parameter uncertainty’, IEEE Trans. Autom. Control, 2002, 47, (7), pp. 1122–1128 (doi: 10.1109/TAC.2002.800651).
  30. 30)
      • 5. Dai, L.: ‘Singular control systems’ (Springer, Berlin, 1989).
  31. 31)
      • 23. Yue, D., Han, Q.-L.: ‘Robust H∞ filter design of uncertain descriptor systems with discrete and distributed delays’, IEEE Trans. Signal Process., 2004, 52, (11), pp. 3200–3212 (doi: 10.1109/TSP.2004.836535).
  32. 32)
      • 16. Sun, Y.J.: ‘Exponential stability for continuous-time singular systems with multiple time delays’, J. Dyn. Syst. Meas. Control, 2003, 125, (2), pp. 262–264 (doi: 10.1115/1.1569952).
  33. 33)
      • 49. Shao, H.-Y.: ‘New delay-dependent stability criteria for systems with interval delay’, Automatica, 2009, 45, (3), pp. 744–749 (doi: 10.1016/j.automatica.2008.09.010).
  34. 34)
      • 37. Gao, H.J., Fei, Z.Y., Lam, J., Du, B.: ‘Further results on exponential estimates of Markovian jump systems with mode-dependent time-varying delays’, IEEE Trans. Autom. Control, 2011, 56, (1), pp. 223–229 (doi: 10.1109/TAC.2010.2090575).
  35. 35)
      • 35. Botmart, T., Niamsup, P., Phat, V.N.: ‘Delay-dependent exponential stabilization for uncertain linear systems with interval non-differential time-varying delays’, Appl. Math. Comput., 2011, 217, (21), pp. 8236–8247 (doi: 10.1016/j.amc.2011.02.097).
  36. 36)
      • 46. Li, T., Song, A., Fei, S., Wang, T.: ‘Delay-derivative-dependent stability for delayed neural networks with unbound distributed delay’, IEEE Trans. Neural Netw., 2010, 21, (8), pp. 1365–1371 (doi: 10.1109/TNN.2010.2051455).
  37. 37)
      • 31. Wu, L.G., Shi, P., Gao, H.J.: ‘State estimation and sliding-mode control of Markovian jump singular systems’, IEEE Trans. Autom. Control, 2010, 55, (5), pp. 1213–1219 (doi: 10.1109/TAC.2010.2042234).
  38. 38)
      • 26. Zhu, S.Q., Zhang, C.H., Cheng, Z.L., Feng, J.: ‘Delay-dependent robust stability criteria for two classes of uncertain singular time-delay systems’, IEEE Trans. Autom. Control, 2007, 52, (5), pp. 880–885 (doi: 10.1109/TAC.2007.895951).
  39. 39)
      • 6. Du, Z.P., Zhang, Q.L., Liu, L.L.: ‘New delay-dependent robust of discrete singular systems with time-varying delay’, Asian J. Control, 2011, 13, (1), pp. 136–147 (doi: 10.1002/asjc.246).
  40. 40)
      • 2. Boukas, E.K.: ‘Control of singular systems with random abrupt changes’ (Springer, New York, 2008).
  41. 41)
      • 41. He, Y., Wu, M., She, J.-H., Liu, G.-P.: ‘Parameter-dependent Lyapunov functional for stability for time-vary systems with polytopic-type uncertainties’, IEEE Trans. Autom. Control, 2004, 49, (5), pp. 828–382 (doi: 10.1109/TAC.2004.828317).
  42. 42)
      • 10. Lin, J.X., Zhao, X.L., Fei, S.M.: ‘New delay-range-dependent exponential estimates for singular systems with time-varying delay’, Int. J. Control Autom. Syst., 2011, 9, (2), pp. 218–227 (doi: 10.1007/s12555-011-0203-6).
  43. 43)
      • 29. Wu, L.G., Ho, D. W. C.: ‘Sliding mode control of singular stochastic hybrid systems’, Automatica, 2010, 46, (4), pp. 779–783 (doi: 10.1016/j.automatica.2010.01.010).
  44. 44)
      • 40. He, Y., Wang, Q.G., Xie, L., Lin, C.: ‘Further improvement of free-weighting matrices technique for systems with time-varying delay’, IEEE Trans. Autom. Control, 2007, 52, pp. 293–298 (doi: 10.1109/TAC.2006.887907).
  45. 45)
      • 30. Wu, L.G., Su, X. J., Shi, P.: ‘Sliding mode control with bounded ℒ2 gain performance of Markovian jump singular time-delay systems’, Automatica, 2012, 48, (8), pp. 1929–1933 (doi: 10.1016/j.automatica.2012.05.064).
  46. 46)
      • 36. Fridman, E., Shaked, U.: ‘H∞ control of linear state-delay descriptor systems: an LMI approach’, Linear Algebr. Appl., 2002, 351–352, (15), pp. 271–302 (doi: 10.1016/S0024-3795(01)00563-8).
  47. 47)
      • 7. Fridman, E.: ‘Stability of linear descriptor systems with delay: a Lyapunov-based approach’, J. Math. Anal. Appl., 2002, 273, (1), pp. 24–44 (doi: 10.1016/S0022-247X(02)00202-0).
  48. 48)
      • 13. Ma, S., Zheng, C., Cheng, Z.: ‘Delay-dependent robust H∞ control for uncertain discrete-time singular systems with time-delays’, J. Comput. Appl. Math., 2008, 217, (1), pp. 194–211 (doi: 10.1016/j.cam.2007.01.044).
  49. 49)
      • 8. Li, J.N., Su, H., Wu, Z.G., Chu, J.: ‘Less conservative robust stability criteria for uncertain discrete stochastic singular systems with time-varying delay’, Int. J. Syst. Sci., 2013, 44, (3), pp. 432–441 (doi: 10.1080/00207721.2011.601350).
  50. 50)
      • 28. Wu, L.G., Zheng, W.-X.: ‘Passivity-based sliding mode control of uncertain singular time-delay systems’, Automatica, 2009, 45, (9), pp. 2120–2127 (doi: 10.1016/j.automatica.2009.05.014).
  51. 51)
      • 34. Amri, I., Soudani, D., Benrejeb, M.: ‘Exponential stability and Stabilization of linear systems with time varying delays’. Sixth Int. Multi-Conf. Systems, Signals and Devices, 2009, pp. 1–6.
  52. 52)
      • 45. Kim, J.: ‘Delay and its time-derivative delay robust stability of time-delayed linear systems with uncertainty’, IEEE Trans. Autom. Control, 2001, 46, (5), pp. 789–792 (doi: 10.1109/9.920802).
  53. 53)
      • 44. Karimi, H.R., Zapateiro, M., Luo, N.S.: ‘Robust mixed H2/H∞ delayed state feedback control of uncertain neutral systems with time-varying delays’, Asian J. Control, 2008, 10, (5), pp. 569–580 (doi: 10.1002/asjc.57).