We consider the quasi-synchronization problem of a continuous time generalized Markovian switching heterogeneous network with time-varying connectivity, using pinned nodes that are event-triggered to reduce the frequency of controller updates and internode communications. We propose a pinning strategy algorithm to determine how many and which nodes should be pinned in the network. Based on the assumption that a network has limited control efficiency, we derive a criterion for stability, which relates the pinning feedback gains, the coupling strength, and the inner coupling matrix. By utilizing the stochastic Lyapunov stability analysis, we obtain sufficient conditions for exponential quasi-synchronization under our stochastic event-triggering mechanism, and a bound for the quasi-synchronization error. Numerical simulations are conducted to verify the effectiveness of the proposed control strategy.

中文翻译：

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具有广义马尔可夫拓扑和事件触发通信的异构网络准同步


我们考虑具有时变连接的连续时间广义马尔可夫交换异构网络的准同步问题，使用事件触发的固定节点来减少控制器更新和节点间通信的频率。我们提出了一种固定策略算法来确定网络中应固定多少个节点以及哪些节点。基于网络控制效率有限的假设，我们推导了稳定性准则，该准则将钉扎反馈增益、耦合强度和内耦合矩阵联系起来。通过利用随机李亚普诺夫稳定性分析，我们获得了随机事件触发机制下指数准同步的充分条件以及准同步误差的界限。进行数值模拟以验证所提出的控制策略的有效性。