Bipartite Synchronization for Coupled Fractional-Order Reaction-Diffusion Neural Networks With Multiple Weights
研究了具有多重状态或空间扩散耦合的分数阶反应扩散神经网络的双向同步问题，利用Lyapunov函数和不等式技术推导了同步条件，并设计了自适应状态反馈控制方案，通过数值例子验证了有效性。
This article deals with the bipartite synchronization in coupled fractional-order reaction-diffusion neural networks (CFRNN) with multiple state or multiple spatial diffusion couplings. A bipartite synchronization condition is derived for the multiple state CFRNN (MSCFRNN) with the help of the Lyapunov functional combined with inequality techniques, and an adaptive state-feedback control scheme is also devised to ensure the bipartite synchronization of the MSCFRNN. Similarly, several sufficient conditions are also given to guarantee the bipartite synchronization in the multiple spatial diffusion CFRNN (MSDCFRNN). Finally, the effectiveness of the devised control strategies is demonstrated through two numerical examples.