This article investigates the synchronization problem in finite-time and fixed-time of the drive-response delayed recurrent neural networks (RNNs).Moreover, it is assumed that the parameters of the RNNs are nonidentical and the activation functions are discontinuous. For addressing the synchronization problem in finite-time and fixed-time, an improved sliding mode control (SMC) approach is presented. In a first time, by applying the drive-response concept and the synchronization error between the drive-response model, two novel integral sliding mode surfaces are constructed such that the synchronization error can converge to zero in finite-time and fixed-time. In second time, two SMC is created to overcome the finite-time and fixed-time synchronization problem of delayed RNNs. On the basis of Lyapunov stability theory, several sufficient criteria are obtained for the considered discontinuous nonidentical RNNs with time-varying delays models to achieve finite-time synchronization and fixed-time synchronization. Moreover, two types of setting time, which are dependent and independent on the initial values, are given respectively. In the end, three numerical simulations are given to illustrate the effectiveness of the synchronization criteria.
In this article, we are concerned with fuzzy Clifford-valued Cohen-Grossberg neural networks (FCVCGNNs) via discontinuous activations and time-varying delays. First, the time-delayed feedback strategy is used to investigate the synchronization in finite-time and fixed-time of FCVCGNNs with discontinuous activations and time-varying delays. By designing Lyapunov functions and utilizing differential inequalities, several effective conditions are derived to ensure synchronization in finite-time and fixed-time of the addressed neural networks. A novel fixed-time convergence method is proposed to study synchronization in fixed-time of discontinuous delayed FCVCGNNs. Furthermore, the settling time of synchronization are estimated. In the end, two numerical examples with simulations are given to confirm the effectiveness of the synchronization criteria.
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