H. B. Du, X. Z. Lin and S. H. Li, “Finite-Time Stability and Stabilization of Switched Linear Systems,” Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, Shanghai, 15-18 December 2009, pp. 1938-1943.

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.