Sampled-data based extended dissipative synchronization of stochastic complex dynamical networks

Abstract

<p style='text-indent:20px;'>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, <inline-formula><tex-math id="M1">\begin{document}$ H_\infty $\end{document}</tex-math></inline-formula>, and <inline-formula><tex-math id="M2">\begin{document}$ L_2-L_\infty $\end{document}</tex-math></inline-formula> 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.</p>