Sampled-data based extended dissipative synchronization of stochastic complex dynamical networks
Sampled-data based extended dissipative synchronization of stochastic complex dynamical networks
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DOI：
10.3934/dcdss.2022082
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发表时间：
2022
期刊：
影响因子：
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通讯作者：
Ramasamy Saravanakumar;Yang Cao;A. Kazemy;Quanxin Zhu
中科院分区：
文献类型：
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作者：
Ramasamy Saravanakumar;Yang Cao;A. Kazemy;Quanxin Zhu
研究了具有可变耦合延迟的随机复杂动态网络(SCDN)基于采样数据控制(SDC)的扩展耗散(ED)同步问题。首先构造了一个合适的Lyapunov-Krasovskii泛函(LKF)，然后利用随机积分不等式(SII)和线性矩阵不等式(LMI)技术得到了一个新的同步准则。此外，还建立了ED同步准则，它将被动性、耗散性、Begin{Document}$H_inty$\end{Document}和\Begin{Document}$L_2-L_\Inty$\end{Document}性能统一在一个结构中。在ED标准中，还为每种性能设计了SDC增益矩阵。最后，通过数值仿真验证了所得理论结果的可行性和实用性。
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.