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We study the mean square stability and the LQ control of discrete time Markov Jump Linear Systems where the Markov chain has a general state space. The mean square stability is characterized by the spectral radius of an operator describing the evolution of the second moment of the state vector. Two equivalent tests for the mean square stability are obtained based on the existence of a positive definite...
The problem of stochastic stability for a class of Markov jump systems with time-varying delay is considered in this paper. By some zero equations, without using model transformation or bounding for cross terms, delay-dependent stochastic stability conditions for Markov jump systems have already been obtained in the literature. But those conditions are rather conservative and do not guarantee stability...
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