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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.
In order to investigate the influence of hybrid coupling on the synchronization of delayed neural networks, a less conservative asymptotic synchronization criterion is established based on the linear matrix inequality (LMI) by choosing an improved Lyapunov-Krasovskii functional with time-delay. This method uses the method of matrix Kronecker product and convex combination to fully consider the upper and lower bounds of variable time delay and its derivative function. By adjusting the coupling matrix parameters in the criterion and solving it by LMI Matlab toolbox, the coupled neural system Design and application.Finally, the simulation results show the validity and applicability of the conclusion.