An overview of recent developments in Lyapunov–Krasovskii functionals and stability criteria for recurrent neural networks with time-varying delays

XM Zhang, QL Han, X Ge, D Ding - Neurocomputing, 2018 - Elsevier
Global asymptotic stability is an important issue for wide applications of recurrent neural
networks with time-varying delays. The Lyapunov–Krasovskii functional method is a …

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 …

Stability analysis for delayed neural networks considering both conservativeness and complexity

CK Zhang, Y He, L Jiang, M Wu - IEEE Transactions on Neural …, 2015 - ieeexplore.ieee.org
This paper investigates delay-dependent stability for continuous neural networks with a time-
varying delay. This paper aims at deriving a new stability criterion, considering tradeoff …

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 …

Delay-dependent stability criteria for generalized neural networks with two delay components

CK Zhang, Y He, L Jiang, QH Wu… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
This paper investigates the delay-dependent stability for generalized continuous neural
networks with time-varying delays. A novel Lyapunov-Krasovskii functional (LKF) that …

Global exponential stability of neural networks with time-varying delay based on free-matrix-based integral inequality

Y He, MD Ji, CK Zhang, M Wu - Neural networks, 2016 - Elsevier
This paper is concerned with global exponential stability problem for a class of neural
networks with time-varying delays. Using a new proposed inequality called free-matrix …

A survey on Lyapunov-based methods for stability of linear time-delay systems

J Sun, J Chen - Frontiers of Computer Science, 2017 - Springer
Recently, stability analysis of time-delay systems has received much attention. Rich results
have been obtained on this topic using various approaches and techniques. Most of those …

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 …

Stability and dissipativity analysis of distributed delay cellular neural networks

Z Feng, J Lam - IEEE Transactions on Neural Networks, 2011 - ieeexplore.ieee.org
In this brief, the problems of delay-dependent stability analysis and strict (Q, S, ℜ)-α-
dissipativity analysis are investigated for cellular neural networks (CNNs) with distributed …

Stability analysis of Markovian jum** stochastic Cohen–Grossberg neural networks with mixed time delays

H Zhang, Y Wang - IEEE Transactions on Neural Networks, 2008 - ieeexplore.ieee.org
In this letter, the global asymptotical stability analysis problem is considered for a class of
Markovian jum** stochastic Cohen-Grossberg neural networks (CGNNs) with mixed …