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.
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)
