Exponential l2 - l∞ stochastic stability analysis for discrete-time switching Markov jump linear systems

The problem of exponential l₂ - l_∞ stochastic stability is considered in this paper for a class of discrete-time switching Markov jump linear systems(S-MJLS). Firstly, the definition of exponential l₂ - l_∞ stochastic stability is introduced. Then, by virtue of the average dwell time approach, the stochastic stability criteria are presented with an exponential l₂ - l_∞ performance index and a decay rate. A numerical example is provided to demonstrate the effectiveness of the obtained results.