摘要
研究两个混沌时滞神经网络在加入一个新的自适应控制器的条件下达到同步的问题.通过构造一个新的李雅普诺夫函数并结合李雅普诺夫稳定性原理、LMI工具箱和自适应反馈控制原理,得到了两个混沌时滞神经网络自适应同步的条件.最后,给出相应的数值模拟来验证所得结论的有效性.
This paper is concerned with the synchronization of two delayed chaotic neural networks with a new adaptive feedback controller which includes state coupling control and delayed state coupling control. By constructing a new Lyapunov functional, we obtain a new adaptive synchronization criteria based on the Lyapunov's stability theory, the linear matrix inequality (LMI) technique and the adaptive feedback control technique. An example and its numerical simulation are given to illustrate the effectiveness of the results.
出处
《应用数学与计算数学学报》
2017年第4期443-453,共11页
Communication on Applied Mathematics and Computation
基金
Project supported by the National Natural Science Foundation of China(10902065)
关键词
自适应同步
混沌时滞神经网络
时滞反馈控制
adaptive synchronization
delayed chaotic neural network
delayed feedback control