具有不确定参数的耦合神经网络固定与预设时间二分同步

Fixed-time and preset-time bipartite synchronization of coupled neural networks with uncertain parameters

针对具有外部干扰和不确定参数的耦合神经网络,在结构平衡的符号图下,研究了固定时间与预设时间二分同步问题。基于非光滑分析与李雅普诺夫稳定性理论,设计了全新的固定时间二分同步控制协议,获得了耦合神经网络在固定时间内实现二分同步的判别准则。通过设计一类特殊形式的预设时间二分同步控制协议,讨论了耦合神经网络的预设时间二分同步,所得同步时间可由设计者根据任务需求预先设定。2个仿真例子验证了理论结果的正确性与有效性。

Under structural balanced signed graphs,the fixed-time and preset-time bipartite synchronization is studied for coupled neural networks with uncertain parameters and external disturbances.Based on the nonsmooth analysis and Lyapunov stability theory,a novel fixed-time bipartite synchronization control protocol is designed,and some criterion are obtained to ensure the fixed-time bipartite synchronization of coupled neural networks.Moreover,a special control protocol is proposed to discuss the preset-time bipartite synchronization for coupled neural networks,where the obtained synchronization time can be pre-set by designer as to the task requirements.Two numerical examples are presented to verify the correctness and effectiveness of the theoretical results.