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 …

[图书][B] Mathematical biology: I. An introduction

JD Murray - 2007 - books.google.com
It has been over a decade since the release of the now classic original edition of Murray's
Mathematical Biology. Since then mathematical biology has grown at an astonishing rate …

Connectivity and dynamics of neural information processing

VK Jirsa - Neuroinformatics, 2004 - Springer
In this article, we systematically review the current literature on neural connectivity and
dynamics, or equivalently, structure and function. In particular, we discuss how changes in …

Global asymptotic stability of a general class of recurrent neural networks with time-varying delays

J Cao, J Wang - IEEE Transactions on Circuits and Systems I …, 2003 - ieeexplore.ieee.org
In this paper, the existence and uniqueness of the equilibrium point and its global asymptotic
stability are discussed for a general class of recurrent neural networks with time-varying …

Impulsive control for existence, uniqueness, and global stability of periodic solutions of recurrent neural networks with discrete and continuously distributed delays

X Li, S Song - IEEE Transactions on neural networks and …, 2013 - ieeexplore.ieee.org
In this paper, a class of recurrent neural networks with discrete and continuously distributed
delays is considered. Sufficient conditions for the existence, uniqueness, and global …

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 …

Stability and bifurcation in a neural network model with two delays

J Wei, S Ruan - Physica D: Nonlinear Phenomena, 1999 - Elsevier
A simple neural network model with two delays is considered. Linear stability of the model is
investigated by analyzing the associated characteristic transcendental equation. For the …

State estimation for delayed neural networks

Z Wang, DWC Ho, X Liu - IEEE Transactions on Neural …, 2005 - ieeexplore.ieee.org
In this letter, the state estimation problem is studied for neural networks with time-varying
delays. The interconnection matrix and the activation functions are assumed to be norm …

On global asymptotic stability of neural networks with discrete and distributed delays

Z Wang, Y Liu, X Liu - Physics Letters A, 2005 - Elsevier
In this Letter, the global asymptotic stability analysis problem is investigated for a class of
neural networks with discrete and distributed time-delays. The purpose of the problem is to …

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 …