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 …

Delay-dependent stability analysis of neural networks with time-varying delay: A generalized free-weighting-matrix approach

CK Zhang, Y He, L Jiang, WJ Lin, M Wu - Applied mathematics and …, 2017 - Elsevier
This paper investigates the delay-dependent stability problem of continuous neural networks
with a bounded time-varying delay via Lyapunov–Krasovskii functional (LKF) method. This …

Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay

H Zhang, Z Liu, GB Huang… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
In this paper, a weighting-delay-based method is developed for the study of the stability
problem of a class of recurrent neural networks (RNNs) with time-varying delay. Different …

Adaptive synchronization of neural networks with or without time-varying delay

J Cao, J Lu - Chaos: An Interdisciplinary Journal of Nonlinear …, 2006 - pubs.aip.org
In this paper, based on the invariant principle of functional differential equations, a simple,
analytical, and rigorous adaptive feedback scheme is proposed for the synchronization of …

New delay-dependent stability criteria for neural networks with time-varying delay

Y He, G Liu, D Rees - IEEE Transactions on Neural Networks, 2007 - ieeexplore.ieee.org
In this letter, a new method is proposed for stability analysis of neural networks (NNs) with a
time-varying delay. Some less conservative delay-dependent stability criteria are …

Stability and dissipativity analysis of static neural networks with time delay

ZG Wu, J Lam, H Su, J Chu - IEEE Transactions on Neural …, 2011 - ieeexplore.ieee.org
This paper is concerned with the problems of stability and dissipativity analysis for static
neural networks (NNs) with time delay. Some improved delay-dependent stability criteria are …

Global exponential stability and global convergence in finite time of delayed neural networks with infinite gain

M Forti, P Nistri, D Papini - IEEE Transactions on Neural …, 2005 - ieeexplore.ieee.org
This paper introduces a general class of neural networks with arbitrary constant delays in
the neuron interconnections, and neuron activations belonging to the set of discontinuous …

Stability analysis for neural networks with time-varying interval delay

Y He, GP Liu, D Rees, M Wu - IEEE Transactions on Neural …, 2007 - ieeexplore.ieee.org
This letter is concerned with the stability analysis of neural networks (NNs) with time-varying
interval delay. The relationship between the time-varying delay and its lower and upper …

Global asymptotic stability of recurrent neural networks with multiple time-varying delays

H Zhang, Z Wang, D Liu - IEEE Transactions on Neural …, 2008 - ieeexplore.ieee.org
In this paper, several sufficient conditions are established for the global asymptotic stability
of recurrent neural networks with multiple time-varying delays. The Lyapunov–Krasovskii …

Boundedness and stability for Cohen–Grossberg neural network with time-varying delays

J Cao, J Liang - Journal of Mathematical Analysis and Applications, 2004 - Elsevier
In this paper, a model is considered to describe the dynamics of Cohen–Grossberg neural
network with variable coefficients and time-varying delays. Uniformly ultimate boundedness …