Improved results on synchronization in arrays of coupled delayed neural networks with hybrid coupling  

具有混杂耦合的耦合时滞神经网络同步的进一步分析(英文)

作　　者：张海涛[1,2] 王婷[1,2] 费树岷[1,2] 李涛[1,2] 

机构地区：[1]东南大学自动化学院,南京210096 [2]东南大学复杂工程系统测量与控制教育部重点实验室,南京210096

出　　处：《Journal of Southeast University(English Edition)》2010年第3期448-452,共5页东南大学学报（英文版）

基　　金：The National Natural Science Foundation of China (No.60764001, 60835001,60875035, 61004032);the Postdoctoral Key Research Fund of Southeast University;the Natural Science Foundation of Jiangsu Province(No.BK2008294)

摘　　要：In order to investigate the influence of hybrid coupling on the synchronization of delayed neural networks, by choosing an improved delay-dependent Lyapunov-Krasovskii functional, one less conservative asymptotical criterion based on linear matrix inequality （LMI） is established. The Kronecker product and convex combination techniques are employed. Also the bounds of time-varying delays and delay derivatives are fully considered. By adjusting the inner coupling matrix parameters and using the Matlab LMI toolbox, the design and applications of addressed coupled networks can be realized. Finally, the efficiency and applicability of the proposed results are illustrated by a numerical example with simulations.为了探讨混杂耦合现象对时滞神经网络系统同步的影响,通过选取一个改进的时滞依赖Lyapunov-Krasovskii泛函,基于线性矩阵不等式(LMI),建立了一个保守性更小的渐近同步准则.该准则采用矩阵Kronecker积与凸组合等方法,充分考虑了变时滞与其导函数的上下界.通过调整准则中的耦合矩阵参数并运用Matlab工具箱LMI进行求解,能够实现所探讨耦合神经系统的设计与应用.最后,通过一个仿真算例说明了所得结论的有效性与适用性.

关 键 词：delayed neural networks hybrid coupling SYNCHRONIZATION Lyapunov-Krasovskii functional linear matrix inequality （LMI） 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程]