Aperiodically intermittent control for stabilization of random coupled systems on networks with Markovian switching

Abstract Throughout this paper, the stabilization problem of random coupled systems on networks with Markovian switching (RCSNMS) is considered via aperiodically intermittent control. It is worth noting that aperiodically intermittent control is firstly utilized to stabilize random systems which are derived by more general noise. On the basis of Lyapunov method, graph theory together with some new stochastic analysis techniques, several stability criteria are derived. Different from most existing stability results on random systems in the literature which are mainly noise-to-state stability, we consider global asymptotical stability in probability and exponential stability in pth moment of RCSNMS. Then an application of the obtained results for a class of random coupled oscillators with Markovian switching via aperiodically intermittent control is presented. Finally, two numerical examples are concerned to demonstrate the validity and feasibility of the theoretical results.

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