带时滞的二元神经元网络的OPNCL控制和复杂网络的时间延迟反馈控制

OPNCL control of nerve cell network of two neurons with delays and chaos anti-control of complex network based on TDF method

针对一种带时滞的二元神经元网络和一种复杂网络的混沌控制问题,利用开环加非线性闭环(Open Plus Nonlinear Closed Loop,OPNCL)方法和时间延迟反馈控制(Time Delay FeedbackControl,TDFC)方法,分别设计了该混沌网络和混沌系统的控制器。从理论上证明了第一种控制器可使该网络系统的解稳定地传递到选定的目标,并通过数值模拟实验进一步验证了两种方法的有效性。结果表明:该方法避免了开环加非线性闭环控制的一些限制因素;对于任何目标,所控制混沌系统的传递域(Basins of Entrainment)是全局的,避免了有关确定传递域范围的繁琐计算。

In this paper the chaotic control problem of nerve cell network of two neurons with delays and the chaotic anti-control problem of complex network are studied.By using Open Plus Nonlinear Closed Loop(OPNCL) method,a kind of controller of the chaotic neural network is designed.The theoretical analysis shows that the solution of the network system can be stably transferred to the selected aim by using this kind of controller.The experiments of numerical simulations are provided to further demonstrate the effectiveness of the method.Based on the time delay feedback(TDF) method,a kind of controller of the chaotic system is designed.The theoretical analysis shows that the controller can make chaotic property of the complex network stronger.The validity of scheme mentioned is further verified by numerical simulation experiments.The method avoids some limiting factor of Open Plus Nonlinear Closed Loop control,basins of entrainment of chaotic system controlled are global for any aim,which avoids the complicated computation about confirming the bound of basins of entrainment.