Sampled-data based extended dissipative synchronization of stochastic complex dynamical networks
Ramasamy Saravanakumar, Yang Cao, Ali Kazemy, Quanxin Zhu · Discrete and Continuous Dynamical Systems - S · 2022
In this paper, extended dissipative (ED) synchronization is considered for stochastic complex dynamical networks (SCDNs) with variable coupling delay via sampled-data control (SDC). First, a suitable Lyapunov–Krasovskii functional (LKF) is constructed, then a new synchronization criterion is obtained through stochastic integral inequality (SII) and linear matrix inequality (LMI) techniques. Moreover, the ED synchronization criteria are established, which consolidates passivity, dissipativity, \begin{document}$ H_\infty $\end{document} , and \begin{document}$ L_2-L_\infty $\end{document} performances in a unified structure. SDC gain matrices are also designed for each performance in ED criteria. Finally, the feasibility and usefulness of the derived theoretical results are shown through numerical simulations.