This paper deals with the problem of /passive non-fragile synchronisation for a class of complex dynamical networks subject to Markovian jumping time-varying coupling delays. Gain variation is represented by a stochastic variable that is assumed to satisfy the Bernoulli distribution with white sequences. The synchronisation error system became stable through our designed controller. By Lyapunov–Krasovskii stability theory, a new stochastic synchronisation criterion is established for the considered network in terms of linear matrix inequality (LMI). An illustration is given to show effectiveness of the proposed theoretical results.

中文翻译：

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时变时滞马尔可夫跳跃随机复杂动力网络的ℋ∞/被动非脆弱同步

本文涉及的问题 马尔可夫跳跃时变耦合时滞的一类复杂动力网络的无源非脆弱同步。增益变化由一个随机变量表示，假定该随机变量满足带有白色序列的伯努利分布。通过我们设计的控制器，同步错误系统变得稳定。根据Lyapunov–Krasovskii稳定性理论，根据线性矩阵不等式（LMI），为考虑的网络建立了新的随机同步准则。举例说明了所提出的理论结果的有效性。