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This paper is concerned with the decentralized stability problem for a class of Markovian jump discrete-time singular large-scale systems. We give the necessary and sufficient conditions for the stochastic stability analysis by the convex combination, and a set of necessary and sufficient conditions for the stochastic stability is proposed in terms of linear matrix inequalities.
In this paper, the problem of decentralized stability of switched nonlinear large-scale systems with time-varying delays in interconnections is studied. The time delays are assumed to be any continuous functions belonging to a given interval. By constructing a set of new Lyapunov–Krasovskii functionals, which are mainly based on the information of the lower and upper delay bounds, a new delay-dependent...
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