A survey of recent advances on stability analysis, state estimation and synchronization control for neural networks

Y Chen, N Zhang, J Yang - Neurocomputing, 2023 - Elsevier
Nowadays, neural networks have been widely applied in many fields such as pattern
recognition, signal and image processing and control theory. Over the past two decades or …

Stability analysis of discrete-time neural networks with time-varying delay via an extended reciprocally convex matrix inequality

CK Zhang, Y He, L Jiang, QG Wang… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
This paper is concerned with the stability analysis of discrete-time neural networks with a
time-varying delay. Assessment of the effect of time delays on system stability requires …

Delay-variation-dependent criteria on extended dissipativity for discrete-time neural networks with time-varying delay

XM Zhang, QL Han, X Ge… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
This article is concerned with the extended dissipativity of discrete-time neural networks
(NNs) with time-varying delay. First, the necessary and sufficient condition on matrix-valued …

A nonsingular M-matrix-based global exponential stability analysis of higher-order delayed discrete-time Cohen–Grossberg neural networks

Z Dong, X Wang, X Zhang - Applied Mathematics and Computation, 2020 - Elsevier
This paper focuses on the problem of global exponential stability analysis for high-order
delayed discrete-time Cohen–Grossberg neural networks. Multiple time-varying delays are …

On extended dissipativity of discrete-time neural networks with time delay

Z Feng, WX Zheng - IEEE Transactions on Neural Networks and …, 2015 - ieeexplore.ieee.org
In this brief, the problem of extended dissipativity analysis for discrete-time neural networks
with time-varying delay is investigated. The definition of extended dissipativity of discrete …

Reachable set estimation of T–S fuzzy systems with time-varying delay

Z Feng, WX Zheng, L Wu - IEEE Transactions on Fuzzy …, 2016 - ieeexplore.ieee.org
In this paper, the reachable set estimation problem is investigated for delayed discrete-time
Takagi-Sugeno fuzzy systems with bounded input disturbances and nonzero initial …

Discrete-time stochastic quaternion-valued neural networks with time delays: an asymptotic stability analysis

R Sriraman, G Rajchakit, CP Lim, P Chanthorn… - Symmetry, 2020 - mdpi.com
Stochastic disturbances often cause undesirable characteristics in real-world system
modeling. As a result, investigations on stochastic disturbances in neural network (NN) …

Novel stability criteria for discrete‐time delayed neural networks via extended negative‐definiteness approaches of matrix‐valued quadratic function

KY Xie, WH Chen, L Jin, CK Zhang… - IET Control Theory & …, 2023 - Wiley Online Library
This article investigates the stability analysis of discrete‐time neural networks with time‐
varying delays by the utilization of quadratic delay information. First, three extended …

Improved stability criteria for discrete-time delayed neural networks via novel Lyapunov–Krasovskii functionals

J Chen, JH Park, S Xu - IEEE Transactions on Cybernetics, 2021 - ieeexplore.ieee.org
This article investigates the stability problem for discrete-time neural networks with a time-
varying delay by focusing on developing new Lyapunov–Krasovskii (L–K) functionals. A …

New admissibility analysis for discrete singular systems with time-varying delay

Z Feng, W Li, J Lam - Applied Mathematics and Computation, 2015 - Elsevier
In this paper, the issue of admissibility for discrete singular systems with time-varying delay
is addressed. The main contribution of this paper is to reduce the conservatism of the …