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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 problem of neural network systems with different node dimensions is studied.It is assumed that both the drive system and the response system of the dynamic neural network with finite time synchronization are respectively coupled by networks with different dimensions, that is, in a single network in each system The number of nodes is not the same, then the network model of neural network with different dimension is given, and the nonlinear feedback controller is designed, and the sufficient condition of finite time synchronization of the system is obtained based on Lyapunov stability theory. The validity of the proposed method is proved.