Finite time stabilization of delayed neural networks

Finite-time stabilization of uncertain neural networks with distributed time-varying delays

“…Evidently, our results are novel and easily verified. In this paper, the distributed time-varying delays are taken into consideration in studying finite-time stability problem, which achieve a valuable improvement compared with corresponding previous works [25][26][27][28][29][30][31][32][33][34][35][36]38]. Therefore, our results are less conservative and more general.…”

“…Remark 3.5 Although the stabilization of delays neural networks has been investigated in the past few years [7,9,10,21], and finite-time stability of delays neural networks also has been investigated in [22,25,27,29,34]. Compared with the traditional method, it is noted that Corollary 3.4 studies the finitetime stabilization of UNNs without distributed timevarying delays, which is similar to the general neural networks.…”

“…Since delays are unavoidable in the hardware implementation of neural networks, it is necessary to take the delays into consideration in the finitetime stability problem. In this paper, the neural networks with time-varying delays and distributed time-varying delays are considered, which make our results general compared with the existing results [9,10,21,22,25,27,29,30,32,34] The activation functions are assumed to be…”

“…So far, it is noted that in this paper, the time-varying delays and distributed time-varying delays sðtÞ are assumed to be differentiable. Therefore, as a result, some less conservative stability criteria are derived by considering the relationship between time-varying delay and its intervals, which have wider applications than [9,10,21,22,25,27,29,32,34], the existing ones because independent upper bounds of the delay derivative in the various delay intervals are taken into account.…”

“…In [36], the authors studied the robust finite-time stabilization with guaranteed cost control for a class of delayed neural networks. Furthermore, in [25,28,32,34,38], authors investigated the finite-time stabilization and synchronization of delays neural networks in different kinds of methods. It should be noted that seldom authors have been reported concerning the finite-time stability and stabilization of UNNs with distributed time-varying delays.…”