This research demonstrates synchronization in stochastic delayed networks with pinning control, indicating effective use of Lyapunov methods.
This study examines the synchronization of Markovian switching stochastic delayed complex dynamical networks (MSSDCDNs). MSSDCDNs have general structures and coupling forms, which are influenced by Markovian switching, random disturbances, and time delays. Simultaneously, relevant controllers are incorporated into certain nodes. Utilizing the theory of stochastic differential equations, we establish adequate requirements to guarantee exponential synchronization in mean square inside the network by formulating suitable Lyapunov functions and employing general Itô formula and inequality approaches. Lastly, numerical examples and simulations are used to verify the validity of the derived theoretical results.
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Ling et al. (2025) studied this question.
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