周期间歇性牵制控制的复杂网络有限时间同步

针对具有时变时滞的复杂网络有限时间同步问题，提出了基于周期间歇性牵制控制的同步方法。通过构造Lyapunov-Krasovskii泛函，并基于有限时间稳定性理论、矩阵理论和不等式技巧，给出了有向网络和无向网络分别实现有限时间同步的充分条件，并讨论了有向网络和无向网络在实现有限时间同步时所需牵制的关键节点的最少数量以及如何选择关键节点。同时，结合周期间歇性控制策略和牵制控制策略，设计出了有限时间周期间歇性牵制控制器，最后利用数值模拟验证了结果的正确性和有效性。

Finite-Time Synchronization of Complex Networks via PeriodicallyIntermittent Pinning Control

In this paper, a synchronization method based on periodically intermittent pinning control is proposed for the finite-time synchronization problem of complex networks with time-varying delays. By constructing Lyapunov-Krasovskii functional and on the ground of finite-time stability theory, matrix theory, intermittent and pinning control methods and inequality technique, sufficient conditions for finite-time synchronization of directed and undirected networks are provided, and the minimum number of the key nodes needed to be pinned by directed and undirected networks and how to select the key nodes are discussed. In the meantime, combining periodically intermittent control with pinning control strategies, a finite-time periodically intermittent pinning controller is designed, and the correctness and effectiveness of the results are verified by numerical simulation.