Exponential l2–l∞ Control for Discrete-Time Switching Markov Jump Linear Systems

The problem of exponential l2–l∞ control is considered in this paper for a class of discrete-time switching Markov jump linear systems. First, the definition of exponential l2–l∞ mean square stability for discrete-time switching Markov jump linear systems is introduced. Then, by resorting to the average dwell time approach, the mean square exponential stability criteria are presented with an exponential l2–l∞ performance index and a decay rate, and the corresponding controller is also designed. Finally, numerical and application examples are provided to demonstrate the effectiveness of the obtained results.

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