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] Cellular neural networks and visual computing: foundations and applications

LO Chua, T Roska - 2002 - books.google.com
Cellular Nonlinear/neural Network (CNN) technology is both a revolutionary concept and an
experimentally proven new computing paradigm. Analogic cellular computers based on …

Global convergence of neural networks with discontinuous neuron activations

M Forti, P Nistri - IEEE Transactions on Circuits and Systems I …, 2003 - ieeexplore.ieee.org
The paper introduces a general class of neural networks where the neuron activations are
modeled by discontinuous functions. The neural networks have an additive interconnecting …

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 …

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 …

[HTML][HTML] Global exponential stability and periodicity of reaction–diffusion delayed recurrent neural networks with Dirichlet boundary conditions

JG Lu - Chaos, Solitons & Fractals, 2008 - Elsevier
In this paper, the global exponential stability and periodicity for a class of reaction–diffusion
delayed recurrent neural networks with Dirichlet boundary conditions are addressed by …

[HTML][HTML] 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 …

Robust stability of dynamical neural networks with multiple time delays: a review and new results

E Aktas, O Faydasicok, S Arik - Artificial Intelligence Review, 2023 - Springer
Robust stability properties of continuous-time dynamical neural networks involving time
delay parameters have been extensively studied, and many sufficient criteria for robust …

Stability analysis of delayed neural networks

S Arik - IEEE Transactions on Circuits and Systems I …, 2000 - ieeexplore.ieee.org
In this paper, the author derives several sufficient conditions for the asymptotic stability of
delayed neural networks. These conditions ensure the asymptotic stability of the equilibrium …

[图书][B] Qualitative theory of dynamical systems

A Michel, A Wang, B Hu, Z Nashed, E Taft - 2001 - taylorfrancis.com
" Illuminates the most important results of the Lyapunov and Lagrange stability theory for a
general class of dynamical systems by developing topics in a metric space independantly of …