References

• 1. 1)
     • 7. Lin, H., Anstaklis, P.J.: ‘Stability and stabilizability of switched linear systems: a survey of recent results’, IEEE Trans. Autom. Control, 2009, 54, (2), pp. 308–322 (doi: 10.1109/TAC.2008.2012009).
  2. 2)
     • 16. Wu, L., Ho, D.W.C., Li, C.W: ‘Sliding mode control of switched hybrid systems with stochastic perturbation’, Syst. Control Lett., 2011, 60, (8), pp. 531–539 (doi: 10.1016/j.sysconle.2011.04.007).
  3. 3)
     • 6. Liberzon, D., Morse, A.S.: ‘Basic problems in stability and design of switched systems’, IEEE Control Syst. Mag., 1999, 19, pp. 59–70 (doi: 10.1109/37.793443).
  4. 4)
     • 4. Liberzon, D.: ‘Switching in systems and control’ (Birkhauser, Boston, 2003).
  5. 5)
     • 8. Daafouz, J., Riedinger, P., Lung, C.: ‘Stability analysis and control synthesis for switched systems: a switched Lyaounov function approach’, IEEE Trans. Autom. Control, 2002, 47, (11), pp. 1883–1887 (doi: 10.1109/TAC.2002.804474).
  6. 6)
     • 19. Sun, X., Liu, G., Rees, D., Wang, W.: ‘Delay-dependent stability for discrete systems with large delay sequence based on switching techniques’, Automatica, 2008, 44, (11), pp. 2902–2908 (doi: 10.1016/j.automatica.2008.04.006).
  7. 7)
     • 2. Yu, J., Wang, L.: ‘Group consensus in multi-agent systems with switching topologies and communication delays’, Syst. Control Lett., 2010, 59, pp. 340–348 (doi: 10.1016/j.sysconle.2010.03.009).
  8. 8)
     • 21. Wu, L., Ho, D.W.C., Li, C.W.: ‘Stabilization and performance synthesis for switched stochastic systems’, IET Control Theory Appl., 2010, 4, (10), pp. 1877–1888 (doi: 10.1049/iet-cta.2009.0179).
  9. 9)
     • 13. Wang, D., Shi, P., Wang, J., Wang, W.: ‘Delay-dependent exponential H∞ filtering for discrete-time switched delay systems,’ Int. J. Robust Nonlinear Control, 2012, 22, (13), pp. 1522–1536 (doi: 10.1002/rnc.1764).
  10. 10)
      • 14. Lian, J., Feng, Z., Shi, P.: ‘Observer design for switched recurrent neural networks: an average dwell time approach’, IEEE Trans. Neural Netw., 2011, 22, (10), pp. 1547–1556 (doi: 10.1109/TNN.2011.2162111).
  11. 11)
      • 24. Cheng, D.: ‘Stabilization of planar switched systems, Syst. Control Lett., 2004, 51, pp. 79–88 (doi: 10.1016/S0167-6911(03)00208-1).
  12. 12)
      • 9. Hespanha, J., Liberzon, D., Teel, A.R.: ‘Lyapunov conditions for input-to-state stability of impulsive systems’, Automatica, 2008, 44, pp. 2735–2744 (doi: 10.1016/j.automatica.2008.03.021).
  13. 13)
      • 23. Pettersson, S.: ‘Synthesis of switched linear systems handling sliding motions’. 2005 IEEE Int. Symp. Intelligent Control, Limassol, Cyprus, 27–29 June, 2005, pp. 27–29.
  14. 14)
      • 17. Wu, L., Feng, Z.G., Zheng, W.X.: ‘Exponential stability analysis for delayed neural networks with switching parameters: average dwell time approach’, IEEE Trans. Neural Netw., 2010, 21, (9), pp. 1396–1407 (doi: 10.1109/TNN.2010.2056383).
  15. 15)
      • 28. Lin, H., Antsaklis, P.J.: ‘Hybrid state feedback stabilization with l2 performance for discrete-time switched linear systems’, Int. J. Control, 2008, 81, pp. 1114–1124 (doi: 10.1080/00207170701654354).
  16. 16)
      • 15. Wu, L., Zheng, W.X.: ‘Weighted H∞ model reduction for linear switched systems with time-varying delay’, Automatica, 2009, 45, (1), pp. 186–193 (doi: 10.1016/j.automatica.2008.06.024).
  17. 17)
      • 3. Ji, Z., Wang, Z., Lin, H., Wang, Z.: ‘Controllability of multi-agent systems with time-delay in state and switching topology’, Int. J. Control, 2010, 83, pp. 371–386 (doi: 10.1080/00207170903171330).
  18. 18)
      • 10. Cai, C., Teel, A.R.: ‘Output-to-state stability for hybrid systems, Syst. Control Lett., 2011, 60, (1), pp. 62–68 (doi: 10.1016/j.sysconle.2010.10.007).
  19. 19)
      • 11. Hespanha, J.P., Morse, A.S.: ‘Stability of switched systems with average dwell-time’. 38th IEEE Conf. Decision and Control Control, Phoenix, AI, USA, 1999, 7–10 December, pp. 2655–2660.
  20. 20)
      • 1. Liu, B., Chu, T., Wang, L., Xie, G.: ‘Controllability of a leader-follower dynamic network with switching topology’, IEEE Trans. Autom. Control, 2008, 53, pp. 1009–1013 (doi: 10.1109/TAC.2008.919548).
  21. 21)
      • 5. Shorten, R., Wirth, F., Mason, O., Wulff, K., King, C.: ‘Stability criteria for switched and hybrid systems’, SIAM Rev., 2007, 49, (4), pp. 545–592 (doi: 10.1137/05063516X).
  22. 22)
      • 20. Wu, L., Qi, T., Feng, Z.: ‘Average dwell time approach to L2 − L∞ control of switched delay systems via dynamic output feedback’, IET Control Theory Appl., 2009, 3, (10), pp. 1425–1436 (doi: 10.1049/iet-cta.2008.0315).
  23. 23)
      • 22. Zhang, L., Gao, H.: ‘Asynchronously switched control of switched linear systems with average dwell time’, Automatica, 2010, 46, (5), pp. 953–958 (doi: 10.1016/j.automatica.2010.02.021).
  24. 24)
      • 18. Sun, X.M., Zhao, J., Hill, D.J.: ‘Stability and L2 gain analysis for switched delay systems: a delay-dependent method’, Automatica, 2006, 42, (10), pp. 1769–1774 (doi: 10.1016/j.automatica.2006.05.007).
  25. 25)
      • 25. Sun, Y., Wang, L., Xie, G.: ‘Necessary and sufficient conditions for stabilization of discrete-time planar switched systems’, Nonlinear Anal., Theory Methods, 2006, 65, pp. 1039–1049 (doi: 10.1016/j.na.2005.09.046).
  26. 26)
      • 27. Lin, H.: ‘Hybrid output feedback stabilization for LTI systems with single output’, IEEE Trans. Autom. Control, 2008, 53, (7), pp. 1736–1740 (doi: 10.1109/TAC.2008.928316).
  27. 27)
      • 12. Ishil, H., Francis, B.: ‘Stabilzing a linear system by switching control with dwell time’, IEEE Trans. Autom. Control, 2002, 47, (12), pp. 1962–1973 (doi: 10.1109/TAC.2002.805689).
  28. 28)
      • 26. Sun, Y., Wang, L.: ‘Stabilization of planar discrete-time switched systems: switched Lyapunov functional approach’, Nonlinear Anal., Hybrid Syst., 2008, 2, pp. 1062–1068 (doi: 10.1016/j.nahs.2008.09.004).