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.