Stability and stabilization for discrete systems with time-varying delays based on the average dwell-time method

In this paper, the problems of the exponential stability and stabilization for a class of discrete systems with time-varying delays are considered. By converting discrete systems with time-varying delays into switched systems and using the average dwell-time method, a new stability criterion is obtained and presented in terms of linear matrix inequality. Based on the obtained stability condition, a design method for the feedback controller to stabilize the system is also proposed. Finally, some numerical examples are given to show the effectiveness of the proposed method.

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