IEEE Trans Neural Netw Learn Syst. 2018 Jun;29(6):2558-2567. doi: 10.1109/TNNLS.2017.2700321. Epub 2017 May 12.
This paper is concerned with the exponential synchronization for master-slave chaotic delayed neural network with event trigger control scheme. The model is established on a network control framework, where both external disturbance and network-induced delay are taken into consideration. The desired aim is to synchronize the master and slave systems with limited communication capacity and network bandwidth. In order to save the network resource, we adopt a hybrid event trigger approach, which not only reduces the data package sending out, but also gets rid of the Zeno phenomenon. By using an appropriate Lyapunov functional, a sufficient criterion for the stability is proposed for the error system with extended ( , , )-dissipativity performance index. Moreover, hybrid event trigger scheme and controller are codesigned for network-based delayed neural network to guarantee the exponential synchronization between the master and slave systems. The effectiveness and potential of the proposed results are demonstrated through a numerical example.
本文研究了具有事件触发控制方案的主从混沌时滞神经网络的指数同步问题。该模型建立在网络控制框架上,同时考虑了外部干扰和网络诱导延迟。期望的目标是在有限的通信能力和网络带宽下实现主从系统的同步。为了节省网络资源,我们采用了一种混合事件触发方法,不仅减少了数据包的发送,而且消除了零频率现象。通过使用适当的李雅普诺夫函数,提出了一个具有扩展((T),(R),(\beta))耗散性能指标的误差系统稳定性的充分条件。此外,为基于网络的时滞神经网络设计了混合事件触发方案和控制器,以保证主从系统之间的指数同步。通过一个数值实例验证了所提出方法的有效性和潜力。