Wei Chen, Wang Xiaoping, Hui Meng, Zeng Zhigang
IEEE Trans Cybern. 2024 Mar;54(3):1671-1684. doi: 10.1109/TCYB.2023.3237248. Epub 2024 Feb 9.
This article investigates the quasi-synchronization for fractional multiweighted coupled neural networks (FMCNNs) with discontinuous activation functions and mismatched parameters. First, under the generalized Caputo fractional-order derivative operator, a novel piecewise fractional differential inequality is established to study the convergence of fractional systems, which significantly extends some related published results. Subsequently, by exploiting the new inequality and Lyapunov stability theory, some sufficient quasi-synchronization conditions of FMCNNs are presented by aperiodic intermittent control. Meanwhile, the exponential convergence rate and synchronization error's bound are given explicitly. Finally, the validity of theoretical analysis is confirmed by numerical examples and simulations.
本文研究了具有不连续激活函数和参数失配的分数阶多重加权耦合神经网络（FMCNN）的准同步问题。首先，在广义Caputo分数阶导数算子下，建立了一个新的分段分数阶微分不等式来研究分数阶系统的收敛性，这显著地扩展了一些已发表的相关结果。随后，通过利用新的不等式和Lyapunov稳定性理论，采用非周期间歇控制给出了FMCNN的一些充分准同步条件。同时，明确给出了指数收敛速率和同步误差界。最后，通过数值算例和仿真验证了理论分析的有效性。
