References

• 1. 1)
     • 5. Xu, S., Yang, C.: ‘Stabilization of discrete-time singular systems: a matrix inequalities approach’, Automatica, 1999, 35, pp. 1613–1617 (doi: 10.1016/S0005-1098(99)00061-8).
  2. 2)
     • 18. Wu, Z., Park, J., Su, H., Song, B., Chu, J.: ‘Mixed H∞ and passive filtering for singular systems with time-delays’, Signal Process., 2013, 93, (7), pp. 1705–1711 (doi: 10.1016/j.sigpro.2013.01.003).
  3. 3)
     • 15. Chadli, M., Darouach, M.: ‘Novel bounded real lemma for discrete-time descriptor systems: application to H∞ control design’, Automatica, 2012, 48, (2), pp. 449–453 (doi: 10.1016/j.automatica.2011.10.003).
  4. 4)
     • 6. Xia, Y., Boukas, E., Shi, P., Zhang, J.: ‘Stability and stabilization of continuous-time singular hybrid systems’, Automatica, 2009, 45, pp. 1504–1509 (doi: 10.1016/j.automatica.2009.02.008).
  5. 5)
     • 19. Wu, Z., Park, J., Su, H., Chu, J.: ‘Delay-dependent passivity for singular Markovian jump systems with time delays’, Commun. Nonlinear Sci. Numer. Simul., 2013, 18, (3), pp. 669–681 (doi: 10.1016/j.cnsns.2012.08.017).
  6. 6)
     • 8. Xu, S., Lam, J.: ‘Robust stability and stabilization of discrete singular systems: an equivalent characterization’, IEEE Trans. Autom. Control, 2004, 49, (4), pp. 568–574 (doi: 10.1109/TAC.2003.822854).
  7. 7)
     • 7. Mao, W.-J., Chu, J.: ‘Regularisation and stabilisation of linear discrete-time descriptor systems’, IET Control Theory Appl., 2010, 4, (10), pp. 2205–2211 (doi: 10.1049/iet-cta.2010.0037).
  8. 8)
     • 9. Wu, Z., Zhou, W.: ‘Delay-dependent robust stabilization for uncertain singular systems with discrete and distributed delays’, J. Control Theory Appl., 2008, 6, (2), pp. 171–176 (doi: 10.1007/s11768-008-6166-3).
  9. 9)
     • 2. Duan, G.: ‘Analysis and design of descriptor linear systems’ (Springer, New York, 2010).
  10. 10)
      • 22. Boyd, S., Ghaoui, L., Feron, E., Balakrishnan, V.: ‘Linear matrix inequalities in system and control theory’ (Society for Industrial and Applied Mathematics (SIAM), 1994).
  11. 11)
      • 3. Liu, P., Zhang, Q., Yang, Y., Yang, L.: ‘Passivity and optimal control of descriptor biological complex systems’, IEEE Trans. Autom. Control, 2008, 53, pp. 122–125 (doi: 10.1109/TAC.2007.911341).
  12. 12)
      • 14. Zhang, G., Xia, Y., Shi, P.: ‘New bounded real lemma for discrete-time singular systems’, Automatica, 2008, 44, pp. 886–890 (doi: 10.1016/j.automatica.2007.07.017).
  13. 13)
      • 13. Ji, X., Su, H., Chu, J.: ‘Robust state feedback H∞ control for uncertain linear discrete singular systems’, IET Control Theory Appl., 2007, 1, pp. 195–200 (doi: 10.1049/iet-cta:20050482).
  14. 14)
      • 21. Cao, Y.-Y., Lin, Z.: ‘A descriptor system approach to robust satbility analysis and controller synthesis’, IEEE Trans. Autom. Control, 2004, 49, pp. 2081–2084 (doi: 10.1109/TAC.2004.837749).
  15. 15)
      • 1. Dai, L.: ‘Singular control systems. Lecture notes in control and information sciences’ (Springer-Verlag, Berlin, 1989).
  16. 16)
      • 12. Xu, S., Yang, C.: ‘H∞ state feedback control for discrete singular systems’, IEEE Trans. Autom. Control, 2000, 45, (7), pp. 1405–1409 (doi: 10.1109/9.867074).
  17. 17)
      • 10. Mao, W.-J.: ‘Robust stability and stabilisation of discrete-time descriptor systems with uncertainties in the difference matrix’, IET Control Theory Appl., 2012, 6, (17), pp. 2676–2685 (doi: 10.1049/iet-cta.2011.0377).
  18. 18)
      • 4. Stevens, B.L., Lewis, F.L.: ‘Aircraft modeling, dynamics and control’ (Wiley, New York, 1991).
  19. 19)
      • 20. Fridman, E., Shaked, U.: ‘A descriptor system approach to H∞ control of linear time-delay systems’, IEEE Trans. Autom. Control, 2002, 47, pp. 253–270 (doi: 10.1109/9.983353).
  20. 20)
      • 23. Huang, L.: ‘Linear algebra in system and control theory’ (Science Press, Beijing, 1984).
  21. 21)
      • 11. Hsiung, K., Lee, L.: ‘Lyapunov inequality and bounded real lemma for discrete-time descriptor systems’, IEE Proc. Control Theory Appl., 1999, 146, (4), pp. 327–331 (doi: 10.1049/ip-cta:19990451).
  22. 22)
      • 16. Lee, C.-M., Fong, I.K.: ‘H∞ optimal singular and normal filter design for uncertain singular systems’, IET Control Theory Appl., 2007, 1, (1), pp. 119–126 (doi: 10.1049/iet-cta:20060042).
  23. 23)
      • 17. Wu, Z., Park, J., Su, H., Song, B.: ‘Reliable H∞ filtering for discrete-time singular systems with randomly occurring delays and sensor failures’, IET Control Theory Appl., 2012, 6, (14), pp. 2308–2317 (doi: 10.1049/iet-cta.2012.0235).