Delay-Dependent Finite-Time Stabilization of Uncertain Switched Time-Delay Systems with Norm-Bounded Disturbance

REFERENCES

• D. Liberzon, Switching in Systems and Control Systems. Boston: Springer, 2003.
   Google Scholar
• J. Yu, L. Wang, M. Yu, Y. Jia and J. Chen, “Packet-loss dependent controller design for networked control systems via switched system approach,” in Proc. 47th IEEE Conf. Decision and Control, 2008, pp. 3354–9.
   Google Scholar
• J. Buisson, P.Y. Richard and H. Cormerais, “On the stabilisation of switching electrical power converters,” in Proc. Hybrid Syst. Comput. Control, 2005, pp. 184–97.
   Google Scholar
• S. Engell, S. Kowalewski, C. Schulz and O. Strusberg. (2000). “Continuous-discrete interactions in chemical processing plants,” Proc. IEEE 88, pp. 1050–68.
   Web of Science ®Google Scholar
• T. C. Lee and Z. P. Jiang. (2008). “Uniform asymptotic stability of nonlinear switched systems with an application to mobile robots,” IEEE Trans. Automatica Cont. 53 (5), pp. 1235–52.
   Web of Science ®Google Scholar
• M. S. Mahmoud, Switched Time-Delay Systems: Stability and Control, New York: Springer, 2010.
   Google Scholar
• J. Lian, C. Mu and P. Shi. (2013). “Asynchronous H-infinity filtering for switched stochastic systems with time varying delay,” Inform. Sci. 224 (1), pp. 200–12.
   Google Scholar
• Q. Wang, H. Sun and G. Zong. (2016). “Stability analysis of switched delay systems with all subsystems unstable,” Int. J. Control Automat. Syst. 14 (5), pp. 1–9.
   Web of Science ®Google Scholar
• Y. Tian, Y. Cai and Y. Sun. (2015). “Asymptotic behavior of switched delay systems with nonlinear disturbance,” Appl.Math.Comput. 268, pp. 522–33.
   Web of Science ®Google Scholar
• X. Xiang and Z. Xiang. (2014). “Exponential stability of discrete time switched linear positive systems with time-delay,” Appl. Math. Comput. 230, pp. 193–9.
   Web of Science ®Google Scholar
• F. Amato, M. Ariola and P. Dorato. (2001). “Finite-time control of linear systems subject to parametric uncertainties and disturbances,” Automatica 37, pp. 1459–63.
   Web of Science ®Google Scholar
• S. He and F. Liu. (2013). “Finite-time boundedness of uncertain time-delayed neural network with Markovian jumping parameters,” Neurocomputing 103, pp. 87–92.
   Web of Science ®Google Scholar
• G. Zong, R. Wang, W. X. Zheng, et al. (2013). “Finite-time stabilization for a class of switched time-delay systems under asynchronous switching,” Appl. Math. Comput. 219, pp. 5757–71.
   Web of Science ®Google Scholar
• G. Zong, R. Wang, W. Zheng, et al. (2015). “Finite time H∞ control for discrete-time switched nonlinear systems with time delay,” Int. J. Robust Nonlinear Cont. 25 (6), pp. 914–36.
   Web of Science ®Google Scholar
• X. Lin, X. Li, S. Li, et al. (2016). “Finite-time boundedness for switched systems with sector bounded nonlinearity and constant time delay,” Appl. Math. Comput. 274, pp. 24–50.
   Web of Science ®Google Scholar
• Y. Dong and F. Yang. (2015). “Finite-time stability and boundedness of switched nonlinear time-delay systems under state-dependent switching,” Complexity 21 (2), pp. 267–75.
   Web of Science ®Google Scholar
• Y. Chen, Q. Liu, R. Lu and H. Zou, “Finite time control of stochastic delay switched systems,” in Proc. of the 34th Chinese Control Conf., China, July 28–30, 2015.
   Google Scholar
• X. Lin, H. Du and S. Li. (2011). “Finite-time boundedness and -gain analysis for switched delay systems with norm bounded disturbance,” Appl. Math. Comput. 217 (12), pp. 5982–93.
   Web of Science ®Google Scholar
• H. Liu, Y. Shen and X. Zhao. (2012). “Delay-dependent observer-based H∞ finite-time control for switched systems with time-varying delay,” Nonlinear Anal. Hybrid. Syst. 6, pp. 885–98.
   Web of Science ®Google Scholar
• Y. Zhong and T. Chen. (2014). “Finite time boundedness analysis for a class of switched linear systems with time varying delay,” Abstract Appl. Anal. 2014, Article ID 982414, p. 9.
   Google Scholar
• X. Wang, G. Zong and H. Sun. (2016). “Asynchronous finite time dynamic output feedback control for switched time delay systems with non-linear disturbances,” IET Control Theory Appl. 10 (10), pp. 1–9.
   Web of Science ®Google Scholar
• X. Lin, H. Du, S. Li and Y. Zou. (2013). “Finite-time stability and finite-time weighted -gain analysis for switched systems with time-varying delay,” IET Control Theory Appl. 7 (7), pp. 1058–69.
   Web of Science ®Google Scholar
• V. A. Yakubovich, S-Procedure in Nonlinear Control Theory, Vestnik, Leningrad University. Mathematics, 1971.
   Google Scholar
• S. Boyd, L. Ghaoui, E. Feron and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. Philadelphia: Society for Industrial and Mathematics (SIAM), 1994.
   Google Scholar
• L. El Ghaoui, F. Oustry and M. AitRami, 1997. “A cone complementarity linearization algorithm for static output-feedback and related problems,” IEEE Trans. Automat. Control 42, pp. 1171–6.
   Web of Science ®Google Scholar
• J. P. Hespanha and A. S. Morse, “Stability of switched systems with average dwell time,” in Proc. IEEE Conf. Decision and Control, 1999, pp. 2655–60.
   Google Scholar