具反应扩散项和脉冲的时滞耦合神经网络的同步

Synchronization of Impulsive Coupled Neural Networks with Time-varying Delay and Reaction-Diffusion Terms

讨论了一类含有反应扩散项和脉冲的时滞耦合神经网络的同步问题,通过构造Lyapunov-Krasovskii泛函,运用线性矩阵不等式(LMI)技术并结合Kronecker积和Poincare不等式获得依赖于时滞和反应扩散算子的全局渐近同步条件.同时,将细胞激活函数看作扇形非线性函数,从而降低结论的保守性.最后,对一个实例进行仿真,说明结论的有效性.

This paper studies a class of impulsive coupled neural networks with time-varying delay and reaction-diffusion terms.By employing Lyapunov-Krasovskii functional,and conducting linear matrix inequality approach,Kronecker product and Poincare inequality,the criteria dependent on delay and reaction-diffusion operator for the synchronization is obtained.Furthermore,the description of the activation functions is more general sector-like nonlinear function.And the criteria of synchronization are less conservative.An example is showed the effect of the conclusion.