时滞耦合忆阻神经网络固定时间抗干扰二分同步

Fixed-time bipartite synchronization of coupled memristive neural networks with time-delays and disturbances

考虑符号图下时滞耦合忆阻神经网络的固定时间抗干扰二分同步问题.设计一类新的经济型固定时间控制协议,确保时滞耦合忆阻神经网络在固定时间内达到二分同步.基于Lyapunov稳定性理论,得到网络同步的充分性判据以及收敛时间的上界.最后,通过数值仿真验证了理论结果的有效性.

The fixed-time bipartite synchronization is considered for the coupled memristive neural networks with time-delays and external disturbances under the signed graphs. A new economical fixed-time control protocol is designed to ensure the fixed-time bipartite synchronization of delayed coupled memristive neural networks. Some sufficient conditions are obtained based on the Lyapunov stability theory. At the same time, the upper-bounds of settling time are calculated. Finally, one numerical example is provided to demonstrate the effectiveness of the theoretical results.