A comprehensive review of stability analysis of continuous-time recurrent neural networks

H Zhang, Z Wang, D Liu - IEEE Transactions on Neural …, 2014 - ieeexplore.ieee.org
Stability problems of continuous-time recurrent neural networks have been extensively
studied, and many papers have been published in the literature. The purpose of this paper is …

Recent advances on dynamical behaviors of coupled neural networks with and without reaction–diffusion terms

JL Wang, SH Qiu, WZ Chen, HN Wu… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
Recently, the dynamical behaviors of coupled neural networks (CNNs) with and without
reaction-diffusion terms have been widely researched due to their successful applications in …

Stability analysis of quaternion-valued neural networks: decomposition and direct approaches

Y Liu, D Zhang, J Lou, J Lu… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
In this paper, we investigate the global stability of quaternion-valued neural networks
(QVNNs) with time-varying delays. On one hand, in order to avoid the noncommutativity of …

Global asymptotic and robust stability of recurrent neural networks with time delays

J Cao, J Wang - IEEE Transactions on Circuits and Systems I …, 2005 - ieeexplore.ieee.org
In this paper, two related problems, global asymptotic stability (GAS) and global robust
stability (GRS) of neural networks with time delays, are studied. First, GAS of delayed neural …

New criteria for stability of neutral-type neural networks with multiple time delays

S Arik - IEEE Transactions on Neural Networks and Learning …, 2019 - ieeexplore.ieee.org
This research work studies stability problems for more general models of neutral-type neural
systems where both neuron states and the time derivative of neuron states involve multiple …

Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach

X Liao, G Chen, EN Sanchez - Neural networks, 2002 - Elsevier
For neural networks with constant or time-varying delays, the problems of determining the
exponential stability and estimating the exponential convergence rate are studied in this …

Global asymptotic stability for a class of generalized neural networks with interval time-varying delays

XM Zhang, QL Han - IEEE Transactions on Neural networks, 2011 - ieeexplore.ieee.org
This paper is concerned with global asymptotic stability for a class of generalized neural
networks (NNs) with interval time-varying delays, which include two classes of fundamental …

Variable-sampling-period dependent global stabilization of delayed memristive neural networks based on refined switching event-triggered control

Z Yan, X Huang, J Cao - Science China Information Sciences, 2020 - Springer
This paper studies the stabilization problem of delayed memristive neural networks under
event-triggered control. A refined switching event-trigger scheme that switches between …

LMI-based approach for asymptotically stability analysis of delayed neural networks

X Liao, G Chen, EN Sanchez - IEEE Transactions on circuits …, 2002 - ieeexplore.ieee.org
This paper derives some sufficient conditions for asymptotic stability of neural networks with
constant or time-varying delays. The Lyapunov-Krasovskii stability theory for functional …

An analysis of exponential stability of delayed neural networks with time varying delays

S Arik - Neural networks, 2004 - Elsevier
This paper derives a new sufficient condition for the exponential stability of the equilibrium
point for delayed neural networks with time varying delays by employing a Lyapunov …