摘要
研究了节点维数不同的神经网络系统的有限时间同步问题.假设动态神经网络有限时间同步的驱动系统和响应系统都是分别由不同维数的网络耦合而成的,即各系统中单个网络中节点数量不尽相同.然后给出不同维数的神经网络系统的网络模型,并对非线性反馈控制器进行设计,基于李亚普诺夫稳定性理论得到系统的有限时间同步的充分条件.数值算例证明了所提出的方法的有效性.
The finite-time synchronization of the neural networks with nodes of different dimensions is investigated in this study. The drive system and response system are the coupling networks of different dimensions,indicating that the node numbers of each single network in these systems are not the same. The nonlinear feedback controller is designed for such dynamic neural networks. The sufficient conditions of finite-time synchronization of the dynamic neural networks are derived on the basis of Lyapunov stability theory. Finally,a numerical example is provided to demonstrate the effectiveness of the proposed method.
出处
《信息与控制》
CSCD
北大核心
2016年第3期335-341,347,共8页
Information and Control
基金
国家自然科学基金资助项目(61572233
11471083)
广东省自然科学基金资助项目(9151001003000005)
关键词
有限时间同步
不同维数
非线性反馈控制器
李亚普诺夫稳定
finite-time synchronization
different dimensions
nonlinear feedback controller
Lyapunov stability
