Lv Xiaoxiao, Cao Jinde, Li Xiaodi, Abdel-Aty Mahmoud, Al-Juboori Udai Ali
IEEE Trans Cybern. 2021 Nov;51(11):5269-5278. doi: 10.1109/TCYB.2020.2974315. Epub 2021 Nov 9.
This article deals with the exponential synchronization problem for complex dynamical networks (CDNs) with coupling delay by means of the event-triggered delayed impulsive control (ETDIC) strategy. This novel ETDIC strategy combining delayed impulsive control with the event-triggering mechanism is formulated based on the quadratic Lyapunov function. Among them, the event-triggering instants are generated whenever the ETDIC strategy is violated and delayed impulsive control is implemented only at event-triggering instants, which allows the existence of some network problems, such as packet loss, misordering, and retransmission. By employing the Lyapunov-Razumikhin (L-R) technique and impulsive control theory, some sufficient conditions with less conservatism are proposed in terms of linear matrix inequalities (LMIs), which indicates that the ETDIC strategy can guarantee the achievement of the exponential synchronization and eliminate the Zeno phenomenon. Finally, a numerical example and its simulations are presented to verify the effectiveness of the proposed ETDIC strategy.
本文通过事件触发延迟脉冲控制（ETDIC）策略研究了具有耦合延迟的复杂动态网络（CDN）的指数同步问题。这种将延迟脉冲控制与事件触发机制相结合的新型ETDIC策略是基于二次Lyapunov函数制定的。其中，每当ETDIC策略被违反时就会产生事件触发时刻，并且仅在事件触发时刻实施延迟脉冲控制，这允许存在一些网络问题，如数据包丢失、乱序和重传。通过运用Lyapunov-Razumikhin（L-R）技术和脉冲控制理论，以线性矩阵不等式（LMI）的形式提出了一些保守性较小的充分条件，这表明ETDIC策略能够保证实现指数同步并消除芝诺现象。最后，给出了一个数值例子及其仿真结果，以验证所提出的ETDIC策略的有效性。
