一类不连续复杂网络的指数同步研究

研究了具有不连续激活函数的复杂网络受非线性干扰通过时滞脉冲和反馈控制达到指数同步的问题,其中反馈控制和时滞脉冲控制用以克服不连续的激活函数对复杂动力网络造成的影响;基于Filippov解、微分包含、Lyapunov函数方法等,提出了几个充分条件,保证了不连续的复杂动力网络达到指数同步;研究结果是对以前结果的推广和改进,可直接应用于连续复杂动力网络;最后通过数值模拟验证了理论的有效性。

Exponential Synchronization of Discontinuous Complex- valued Complex Dynamical Network

Exponential synchronization of discontinuous complex valued complex dynamical network with nonlinear perturbation via feedback control and time delayed impulsive control is studied, among which feedback control and time delayed impulsive control are used to overcome the influence of complex dynamical network caused by discontinuous activation function. Based on the methods such as Filippov solution, differential inclusion, Lyapunov function and so on, this paper proposes some sufficient conditions to guarantee the exponential synchronization of discontinuous complex dynamical network. The results of this paper are promoted and improved by previous results and can be directly applied to the continuous complex dynamical network. Finally, numerical simulations are given to show the effectiveness of the theoretical results.