Journal ArticleDOI
Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays
Jinde Cao,Jun Wang +1 more
Reads0
Chats0
TLDR
The results herein answer a question: if a neural network without any delay is absolutely exponentially stable, then under what additional conditions, the neural networks with delay is alsoabsolutely exponentially stable.About:
This article is published in Neural Networks.The article was published on 2004-04-01. It has received 220 citations till now. The article focuses on the topics: Exponential stability & Activation function.read more
Citations
More filters
Journal ArticleDOI
Global exponential stability of generalized recurrent neural networks with discrete and distributed delays
TL;DR: A linear matrix inequality (LMI) approach is developed to establish sufficient conditions for the RNNs to be globally exponentially stable, and the existence and uniqueness of the equilibrium point under mild conditions is proved.
Journal ArticleDOI
A Comprehensive Review of Stability Analysis of Continuous-Time Recurrent Neural Networks
TL;DR: The purpose of this paper is to provide a comprehensive review of the research on stability of continuous-time recurrent Neural networks, including Hopfield neural networks, Cohen-Grossberg neural networks and related models.
Journal ArticleDOI
Boundedness and stability for Cohen–Grossberg neural network with time-varying delays☆
Jinde Cao,Jinling Liang +1 more
TL;DR: In this article, a model is considered to describe the dynamics of the Cohen-Grossberg neural network with variable coefficients and time-varying delays, and sufficient conditions are derived for the model to be globally exponentially stable.
Journal ArticleDOI
Global synchronization of linearly hybrid coupled networks with time-varying delay
Wenwu Yu,Jinde Cao,Jinhu Lu +2 more
TL;DR: A generally linearly hybrid coupled network with time-varying delay is proposed, and several effective sufficient conditions of global synchronization are attained based on the Lyapunov function and a linear matrix inequality (LMI).
Journal ArticleDOI
Matrix measure strategies for stability and synchronization of inertial BAM neural network with time delays
Jinde Cao,Jinde Cao,Ying Wan +2 more
TL;DR: Several sufficient conditions are presented for the global exponential stability of the equilibrium by using matrix measure and Halanay inequality and when employing an error-feedback control term to the response neural network.
References
More filters
Journal ArticleDOI
The numerical analysis of ordinary differential equations: Runge-Kutta and general linear methods
TL;DR: The Euler Method and its Generalizations Analysis of Runge-Kutta Methods General Linear Methods Bibliography.
Journal ArticleDOI
Stability of analog neural networks with delay
TL;DR: In this paper, the authors analyzed the dynamics of continuous-time analog networks with delay, and showed that there is a critical delay above which a symmetrically connected network will oscillate.
Journal ArticleDOI
New conditions for global stability of neural networks with application to linear and quadratic programming problems
Mauro Forti,Alberto Tesi +1 more
TL;DR: In this paper, the authors present new conditions ensuring existence, uniqueness, and global asymptotic stability of the equilibrium point for a large class of neural networks, which are applicable to both symmetric and nonsymmetric interconnection matrices and allow for the consideration of all continuous non-reasing neuron activation functions.
Book
The numerical analysis of ordinary differential equations
TL;DR: In this article, a temperature control system for individual rooms within a home is disclosed having a pair of thermostatically controlled switches settable to "occupied" and "unoccupied" temperatures respectively with a clock controlled switching arrangement for determining which switch is effective during predetermined hours of the day.
Journal ArticleDOI
Global stability conditions for delayed CNNs
TL;DR: Based on the Lyapunov stability theorem as well as some facts about the positive definiteness and inequality of matrices, a new sufficient condition is presented for the existence of a unique equilibrium point and its global asymptotic stability for delayed CNNs as mentioned in this paper.