  This paper introduces sufficient Lyapunov conditions guaranteeing exponential
mean square stability of discrete-time systems with markovian delays. We
provide a transformation of the discrete-time system with markovian delays into
a discrete-time Markov jump system. Then, we extend sufficient Lyapunov
conditions existing for the global asymptotic stability of discrete-time
systems with delays digraphs to the mean square stability of discrete-time
systems with markovian delays. Finally, an example is provided to illustrate
the efficiency and advantage of the proposed method.
