Tang Shimiao, Li Jiarong, Jiang Haijun, Wang Jinling
College of Mathematics and System Science, Xinjiang University, Urumqi 830017, China.
School of Mathematics and Statistics, Yili Normal University, Yining 835000, China.
Entropy (Basel). 2024 Feb 26;26(3):199. doi: 10.3390/e26030199.
This paper concerns a class of coupled competitive neural networks, subject to disturbance and discontinuous activation functions. To realize the fixed-time quasi-bipartite synchronization, an aperiodic intermittent controller is initially designed. Subsequently, by combining the fixed-time stability theory and nonsmooth analysis, several criteria are established to ensure the bipartite synchronization in fixed time. Moreover, synchronization error bounds and settling time estimates are provided. Finally, numerical simulations are presented to verify the main results.
本文研究一类受干扰且具有不连续激活函数的耦合竞争神经网络。为实现固定时间准二分同步,首先设计了一种非周期间歇控制器。随后,结合固定时间稳定性理论和非光滑分析,建立了若干准则以确保在固定时间内实现二分同步。此外,还给出了同步误差界和调节时间估计。最后,通过数值仿真验证了主要结果。