变时滞耦合不确定复杂网络修正函数投影同步
Modified Function Projective Synchronization of Uncertain Complex Dynamical Networks with Time-varying Coupling Delay

研究了具有不确定参数、外界干扰及时变时滞耦合的复杂动态网络的修正函数投影同步问题。基于Lyapunov 稳定性理论和不等式变换理论, 设计了自适应鲁帮控制器，控制器设计中不需要预先设定反馈增益，其值随自适应律自行调节。该方法能有效的克服未知有界干扰和时变时滞的影响，数值仿真验证了该方法的正确性和有效性。
The paper investigates the modified function projective synchronization of complex dynamical networks with uncertain parameters 、external disturbance and time-varying coupling delay. Based on Lyapunov stability theory and some inequality techniques, the adaptive robust controller was designed, by which the drive and response systems can realize synchronize to a desired scaling function matrix and estimate the unknown parameters. The feedback control gains were determined by adaptive updated laws. The controller could overcome the effects of the external disturbances and time-varying coupling delay effectively. Numerical simulations illustrate the effectiveness of the proposed method.