Global synchronization of coupled delayed neural networks and applications to chaotic CNN models

G Chen, J Zhou, Z Liu - International Journal of Bifurcation and …, 2004 - World Scientific
This paper formulates the model and then studies its dynamics of a system of linearly and
diffusively coupled identical delayed neural networks (DNNs), which is generalization of …

Global exponential stability and periodicity 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, the global exponential stability and periodicity of a class of recurrent neural
networks with time delays are addressed by using Lyapunov functional method and …

[图书][B] Stability of dynamical systems

X Liao, LQ Wang, P Yu - 2007 - books.google.com
The main purpose of developing stability theory is to examine dynamic responses of a
system to disturbances as the time approaches infinity. It has been and still is the object of …

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 …

Global robust stability of delayed recurrent neural networks

J Cao, DS Huang, Y Qu - Chaos, Solitons & Fractals, 2005 - Elsevier
This paper is concerned with the global robust stability of a class of delayed interval
recurrent neural networks which contain time-invariant uncertain parameters whose values …

Global asymptotic stability of a larger class of neural networks with constant time delay

S Arik - Physics Letters A, 2003 - Elsevier
This Letter presents some new sufficient conditions for the uniqueness and global
asymptotic stability (GAS) of the equilibrium point for a larger class of neural networks with …

Mean square exponential stability of stochastic delayed Hopfield neural networks

L Wan, J Sun - Physics Letters A, 2005 - Elsevier
Stochastic effects to the stability property of Hopfield neural networks (HNN) with discrete
and continuously distributed delay are considered. By using the method of variation …

Global robust stability of delayed neural networks

S Arik - IEEE Transactions on Circuits and Systems I …, 2003 - ieeexplore.ieee.org
This work presents a sufficient condition for the existence, uniqueness, and global robust
stability of the equilibrium point for Hopfield-type delayed neural networks. The result …

Coexistence of cyclic sequential pattern recognition and associative memory in neural networks by attractor mechanisms

J Huo, J Yu, M Wang, Z Yi, J Leng… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Neural networks are developed to model the behavior of the brain. One crucial question in
this field pertains to when and how a neural network can memorize a given set of patterns …

[图书][B] Convergence analysis of recurrent neural networks

Z Yi - 2013 - books.google.com
Since the outstanding and pioneering research work of Hopfield on recurrent neural
networks (RNNs) in the early 80s of the last century, neural networks have rekindled strong …