Convergence analysis on time scales for HOBAM neural networks in the Stepanov-like weighted pseudo almost automorphic space

A Arbi, Y Guo, J Cao - Neural Computing and Applications, 2021 - Springer
We start by presenting the concept of Stepanov-like weighted pseudo almost automorphic
on time-space scales. Besides, we introduce a novel model of high-order BAM neural …

Stability analysis of inertial neural networks: A case of almost anti‐periodic environment

A Arbi, N Tahri - Mathematical Methods in the Applied Sciences, 2022 - Wiley Online Library
In this paper, a class of inertial neural networks with time delays is considered. By
develo** an approach based on differential inequality techniques coupled with Lyapunov …

Dynamics of delayed cellular neural networks in the Stepanov pseudo almost automorphic space.

A Arbi, J Cao, M Es-saiydy… - … Systems-Series S, 2022 - search.ebscohost.com
Pseudo almost automorphy (PAA) is a natural generalization of Bochner almost automorphy
and Stepanov almost automorphy. Therefore, the results of the existence of PAA solutions of …

Analyzing upper bounds on mean absolute errors for deep neural network-based vector-to-vector regression

J Qi, J Du, SM Siniscalchi, X Ma… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
In this paper, we show that, in vector-to-vector regression utilizing deep neural networks
(DNNs), a generalized loss of mean absolute error (MAE) between the predicted and …

Exponential stability analysis for delayed semi-Markovian recurrent neural networks: A homogeneous polynomial approach

X Li, F Li, X Zhang, C Yang… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
This paper investigates the exponential stability analysis issue for a class of delayed
recurrent neural networks (RNNs) with semi-Markovian parameters. By constructing a …

A neural controller for image-based visual servoing of manipulators with physical constraints

Y Zhang, S Li - IEEE transactions on neural networks and …, 2018 - ieeexplore.ieee.org
Main issues in visual servoing of manipulators mainly include rapid convergence of feature
errors to zero and the safety of joints regarding joint physical limits. To address the two …

Almost anti-periodic solution of inertial neural networks with leakage and time-varying delays on timescales

A Arbi, N Tahri, C Jammazi, C Huang, J Cao - Circuits, Systems, and …, 2022 - Springer
This paper studies a class of inertial neural networks with leakages and varying delays on
timescales: x_ i^ △ △ (t) &=-a_ i (t) x_ i^ △ (t-η _ i (t))-b_ i (t) x_ i (t-ξ _ i (t))+ ∑\limits _ j= 1 …

New results on time scales of pseudo Weyl almost periodic solution of delayed QVSICNNs

A Arbi, N Tahri - Computational and Applied Mathematics, 2022 - Springer
In this work, the problems of investigation of pseudo Weyl almost periodic solution of
quaternion-valued shunting inhibitory model of type cellular neural networks with time …

Improved synchronization analysis of competitive neural networks with time-varying delays

A Arbi, J Cao, A Alsaedi - Nonlinear Analysis: Modelling and Control, 2018 - zurnalai.vu.lt
Synchronization and control are two very important aspects of any dynamical systems.
Among various kinds of nonlinear systems, competitive neural network holds a very …

Novel traveling waves solutions for nonlinear delayed dynamical neural networks with leakage term

A Arbi - Chaos, Solitons & Fractals, 2021 - Elsevier
In this work, the exponential stability of monotone traveling wave solutions for a class of
nonlinear delayed dynamical neural networks with leakage term and distributed delays is …