Synchronization of stochastic multiple weighted coupled networks with Markovian switching

Abstract

We investigate the synchronization of stochastic multiple weighted coupled networks with Markovian switching (SMWCNMS). By designing an appropriate controller, we obtain several sufficient criteria ensuring the pth moment exponential synchronization and almost surely exponential synchronization for SMWCNMS based on graph theory. Moreover, we also investigate the pth moment asymptotical synchronization and almost surely asymptotical synchronization for SMWCNMS. Finally, we provide a numerical example to illustrate the availability of the proposed synchronization criteria.

Finite‐time synchronization and identification of the Markovian switching delayed network with multiple weights

“…Proof. The Lyapunov-Krasovskii function in the entire time interval is described as (21), then the Lyapunov-Krasovskii function constructed in the interval (t 𝛿−1 , t 𝛿 ] is as follows:…”

“…From the above example, the advantages of the multi‐weight network models in practical engineering are further reflected. In [21], the stochastic multiple weighted coupled Markovian switching networks are considered. The finite‐time synchronization for a class of non‐linear coupled multi‐weighted Markovian switching complex networks with time‐varying delay is studied in [22].…”