Zhou Yufeng, Zeng Zhigang
IEEE Trans Cybern. 2023 Oct;53(10):6479-6490. doi: 10.1109/TCYB.2022.3194218. Epub 2023 Sep 15.
The quasisynchronization of nonidentically coupled dynamical networks (NCDNs) with proportional delay is achieved by the event-triggered mechanism (ETM). Heterogeneity and proportional delay greatly increase the difficulty on synchronization of NCDNs. As an unbounded delay in the coupling term, proportional delay is dealt with by the comparison principle, constructing parameter equations, and contradiction method. Moreover, different impulsive effects based on ETM are taken into account to reduce the burden of communication, and the quasisynchronization criteria for NCDNs are derived by the impulsive comparison principle and extended variable parameter formula. The synchronization errors and the exponential convergence rates under different impulsive effects are obtained. It is proven that the proposed ETM can avoid Zeno behavior. Finally, examples show the effectiveness of the proposed control scheme.
通过事件触发机制（ETM）实现了具有比例延迟的非相同耦合动态网络（NCDN）的准同步。异质性和比例延迟极大地增加了NCDN同步的难度。作为耦合项中的无界延迟，比例延迟通过比较原理、构造参数方程和反证法来处理。此外，考虑了基于ETM的不同脉冲效应以减轻通信负担，并通过脉冲比较原理和扩展可变参数公式推导了NCDN的准同步准则。获得了不同脉冲效应下的同步误差和指数收敛率。证明了所提出的ETM可以避免芝诺行为。最后，实例表明了所提出控制方案的有效性。
