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 …

New conditions for global stability of neural networks with application to linear and quadratic programming problems

M Forti, A Tesi - IEEE Transactions on Circuits and Systems I …, 1995 - ieeexplore.ieee.org
In this paper, we present new conditions ensuring existence, uniqueness, and Global
Asymptotic Stability (GAS) of the equilibrium point for a large class of neural networks. The …

[图书][B] Matrix diagonal stability in systems and computation

E Kaszkurewicz, A Bhaya - 2012 - books.google.com
This monograph presents a collection of results, observations, and examples related to
dynamical systems described by linear and nonlinear ordinary differential and difference …

[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 …

Dynamics of a class of discrete-time neural networks and their continuous-time counterparts

S Mohamad, K Gopalsamy - Mathematics and Computers in Simulation, 2000 - Elsevier
The dynamical characteristics of continuous-time additive Hopfield-type neural networks are
studied. Sufficient conditions are obtained for exponentially stable encoding of temporally …

Stability analysis of dynamical neural networks

Y Fang, TG Kincaid - IEEE Transactions on Neural Networks, 1996 - ieeexplore.ieee.org
In this paper, we use the matrix measure technique to study the stability of dynamical neural
networks. Testable conditions for global exponential stability of nonlinear dynamical systems …

On a class of globally stable neural circuits

E Kaszkurewicz, A Bhaya - IEEE Transactions on Circuits and …, 1994 - ieeexplore.ieee.org
The authors show that diagonal stability of the interconnection matrix leads to a simple proof
of the existence, uniqueness, and global asymptotic stability of the equilibrium of a Hopfield …

Breaking through the speed-power-accuracy tradeoff in ADCs using a memristive neuromorphic architecture

L Danial, N Wainstein, S Kraus… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
The analog-to-digital converter (ADC) is a principal component in every data acquisition
system. Unfortunately, modern ADCs tradeoff speed, power, and accuracy. In this paper …

On equilibria, stability, and instability of Hopfield neural networks

ZH Guan, G Chen, Y Qin - IEEE Transactions on Neural …, 2000 - ieeexplore.ieee.org
On equilibria, stability, and instability of Hopfield neural networks Page 1 534 IEEE
TRANSACTIONS ON NEURAL NETWORKS, VOL. 11, NO. 2, MARCH 2000 On Equilibria …

Sparsely interconnected neural networks for associative memories with applications to cellular neural networks

D Liu, AN Michel - IEEE Transactions on Circuits and Systems II …, 1994 - ieeexplore.ieee.org
We first present results for the analysis and synthesis of a class of neural networks without
any restrictions on the interconnecting structure. The class of neural networks which we …