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的准同步。

我们使用具有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，考虑具有时变连接性的连续时间广义Markovian交换异构网络的准同步问题。我们提出了一种固定策略算法，以确定应在网络中固定多少个节点和哪些节点。基于网络控制效率有限的假设，我们推导了稳定性准则，该准则涉及钉扎反馈增益，耦合强度和内部耦合矩阵。利用随机Lyapunov稳定性分析，我们在随机事件触发机制下获得了指数准同步的充分条件，并且为准同步误差提供了一个边界。