Average dwell time approach to finite-time stabilization of switched singular linear systems

Abstract This paper is concerned with the finite-time stabilization problem for a class of switched singular linear systems. The dynamic decomposition technique is utilized to convert such a problem to an equivalent one for the reduced-order switched normal system with state jumps. The average dwell time approach is proposed which ensures the system׳s state trajectory remaining in a bounded region of the state space over a pre-specified finite-time interval. To further reduce the conservatism, the mode-dependent average dwell time method is adopted. Finally, two numerical examples are given to show the validity and potential of the developed methods.

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