Synchronization of complex networks with mixed time-varying coupling delays and stochastic perturbation. We constructed a novel Lyapunov functional with triple integral terms. By applying Jensen’s inequality and Lyapunov stability theory stability conditions are derived to check the asymptotical stability of the concerned system. By employing the stochastic evaluation and Kronecker product delay-dependent synchronization criteria of stochastic complex dynamical networks are derived. By using the derived conditions control gain matrix is obtained. Finally, numerical results are presented to demonstrate the effectiveness and usefulness of the proposed results.

中文翻译：

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混合时变耦合时滞随机复杂动力网络的同步

具有混合时变耦合延迟和随机扰动的复杂网络的同步。我们构造了具有三重积分项的新颖Lyapunov函数。通过应用詹森不等式和李雅普诺夫稳定性理论，推导了稳定性条件，以检查相关系统的渐近稳定性。通过采用随机评估和Kronecker乘积的时延相关的随机复杂动态网络同步准则。通过使用导出的条件，可以获得控制增益矩阵。最后，数值结果表明了所提出的结果的有效性和实用性。