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K. S. Narendra and J. A. Balakrishnan, “Common Lyapunov Function for Stable LTI Systems with Commuting A-Matrices,” IEEE Transactions on Automatic Control, Vol. 39, No. 12, 1994, pp. 2469-2471. doi:10.1109/9.362846

has been cited by the following article:

• TITLE: H∞ Finite-Time Control for Switched Linear Systems with Time-Varying Delay

  AUTHORS: Hao Liu, Yi Shen

  KEYWORDS: Switched System, Time-Delay, H∞ Finite-Time Boundedness, ADT

  JOURNAL NAME: Intelligent Control and Automation, Vol.2 No.3, August 8, 2011

  ABSTRACT: Finite-time boundedness and H∞ finite-time boundedness of switched linear systems with time-varying delay and exogenous disturbances are addressed. Based on average dwell time (ADT) and free-weight matrix technologies, sufficient conditions which can ensure finite-time boundedness and H∞ finite-time boundedness are given. And then in virtue of the results on finite-time boundedness, the state memory feedback controller is designed to H∞ finite-time stabilize a time-delay switched system. These conditions are given in terms of LMIs and are delay-dependent. An example is given to illustrate the efficiency of the proposed method.