Aperiodically intermittent synchronization of Markovian jump stochastic complex networks with time-varying delays. (English) Zbl 1469.60184
Summary: In this paper, \(p\)th-moment exponential synchronization for Markovian jump stochastic complex networks with time-varying delays (MJSCNTVDs) is studied via aperiodically intermittent control. By combining graph theory and \(\mathcal M\)-matrix theory, some novel synchronization criteria are derived, which comprise two forms: (1) Lyapunov-type criteria and (2) coefficient-type criteria. As its applications, the obtained synchronization results are applied to explore \(p\)th-moment exponential synchronization of stochastic coupled oscillators with time-varying delays and Markovian jump. The primary advantages of these obtained results over some recent and similar works are that the differentiability or continuity of the delay function is not required and that the restriction between control width and delay is removed. Two numerical examples are provided to examine the effectiveness and potential of the theoretic results obtained.
MSC:
| 60H10 | Stochastic ordinary differential equations (aspects of stochastic analysis) |
| 34D06 | Synchronization of solutions to ordinary differential equations |
| 34H05 | Control problems involving ordinary differential equations |
Keywords:
exponential synchronization; aperiodically intermittent control; graph theory; stochastic complex networksReferences:
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