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 …

An overview of the stability analysis of recurrent neural networks with multiple equilibria

P Liu, J Wang, Z Zeng - IEEE Transactions on Neural Networks …, 2021 - ieeexplore.ieee.org
The stability analysis of recurrent neural networks (RNNs) with multiple equilibria has
received extensive interest since it is a prerequisite for successful applications of RNNs …

The CNN paradigm

LO Chua, T Roska - IEEE Transactions on Circuits and Systems …, 1993 - ieeexplore.ieee.org
A concise tutorial description of the cellular neural network (CNN) paradigm is given, along
with a precise taxonomy. The CNN is defined, and the canonical equations are described …

[图书][B] CNN: A paradigm for complexity

LO Chua - 1998 - books.google.com
Revolutionary and original, this treatise presents a new paradigm of Emergence and
Complexity, with applications drawn from numerous disciplines, including artificial life …

[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 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 …

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 …

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 …

Stability analysis for neural networks with time-varying delay based on quadratic convex combination

H Zhang, F Yang, X Liu, Q Zhang - IEEE transactions on neural …, 2013 - ieeexplore.ieee.org
In this paper, a novel method is developed for the stability problem of a class of neural
networks with time-varying delay. New delay-dependent stability criteria in terms of linear …