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 …

Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations

M Forti, M Grazzini, P Nistri, L Pancioni - Physica D: Nonlinear Phenomena, 2006 - Elsevier
The paper considers a class of additive neural networks where the neuron activations are
modeled by discontinuous functions or by continuous non-Lipschitz functions. Some tools …

Input-to-state stability (ISS) analysis for dynamic neural networks

EN Sanchez, JP Perez - … Transactions on circuits and systems I …, 1999 - ieeexplore.ieee.org
In this paper a novel approach to assess the stability of dynamic neural networks is
presented. Using a Lyapunov function, we determine conditions to guarantee input-to-state …

[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 …

Stability of artificial neural networks with impulses

K Gopalsamy - Applied Mathematics and Computation, 2004 - Elsevier
Sufficient conditions are obtained for the existence and asymptotic stability of a unique
equilibrium of a Hopfield-type neural network with Lipschitzian activation functions without …

Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays

J Cao, J Wang - Neural networks, 2004 - Elsevier
This paper investigates the absolute exponential stability of a general class of delayed
neural networks, which require the activation functions to be partially Lipschitz continuous …

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 …

Global stability for cellular neural networks with time delay

TL Liao, FC Wang - IEEE Transactions on neural networks, 2000 - ieeexplore.ieee.org
A sufficient condition related to the existence of a unique equilibrium point and its global
asymptotic stability for cellular network networks with delay (DCNNs) is derived. It is shown …