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This paper is concerned with the problem of stochastic stability analysis of discrete-time two-dimensional Markovian jump systems (2D MJSs) described by the Roesser model. The systems under consideration are subject to interval time-varying and full known transition probabilities of the jumping process/Markov chain. First, new finite-sum inequalities are proposed in this paper. Then giving the Lyapunov-Krasovskii...
A Lyapunov-based method: new finite-sum inequality approach is proposed to reduce the conservatism and the complexity of the stability result for one-dimensional (1D) time-delay systems. In this study, the authors further concern the analysis of delay-dependent stability for two-dimensional (2D) discrete-time systems with interval time-varying delays. By applying new finite-sum inequalities and the...
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