New insight into bifurcation of fractional-order 4D neural networks incorporating two different time delays

C Xu, D Mu, Z Liu, Y Pang, M Liao, C Aouiti - Communications in Nonlinear …, 2023 - Elsevier
Delay has a vital influence on the dynamics of neural networks. Exploring the effect of time
delay on the dynamics of neural networks has become a hot issue in mathematics and …

Some results on finite-time stability of stochastic fractional-order delay differential equations

D Luo, M Tian, Q Zhu - Chaos, Solitons & Fractals, 2022 - Elsevier
Finite-time stability of stochastic fractional-order delay differential equations is researched
here. Firstly, we derive the equivalent form of the considered system by using the Laplace …

Finite-time stability of fractional-order fuzzy cellular neural networks with time delays

F Du, JG Lu - Fuzzy Sets and Systems, 2022 - Elsevier
The finite-time stability of fractional-order fuzzy cellular neural networks with time delays is
investigated. One of the difficulties in stability analysis of fractional-order delayed systems …

New criterion for finite-time synchronization of fractional order memristor-based neural networks with time delay

F Du, JG Lu - Applied Mathematics and Computation, 2021 - Elsevier
A new fractional order Gronwall inequality with time delay is developed in this paper. Based
on this inequality, a new criterion for finite-time synchronization of fractional order memristor …

New criteria on finite-time stability of fractional-order Hopfield neural networks with time delays

F Du, JG Lu - IEEE Transactions on Neural Networks and …, 2020 - ieeexplore.ieee.org
In this article, the finite-time stability (FTS) of fractional-order Hopfield neural networks with
time delays (FHNNTDs) is studied. A widely used inequality in investigating the stability of …

Novel stability results of multivariable fractional-order system with time delay

Z Zhang, Y Wang, J Zhang, Z Ai, F Liu - Chaos, Solitons & Fractals, 2022 - Elsevier
This paper deduces some novel asymptotic stability criteria for different forms of
multivariable fractional-order systems (MFOS) whose fractional-order parameters are …

Delay-dependent finite-time synchronization criterion of fractional-order delayed complex networks

F Du, JG Lu, QH Zhang - … in Nonlinear Science and Numerical Simulation, 2023 - Elsevier
The delay-dependent finite-time synchronization (FTS) is investigated for a class of fractional-
order delayed complex networks (FODCNs). First, with the aid of the Young inequality and …

Stability of discrete‐time fractional‐order time‐delayed neural networks in complex field

A Pratap, R Raja, J Cao, C Huang… - … Methods in the …, 2021 - Wiley Online Library
Dynamics of discrete‐time neural networks have not been well documented yet in fractional‐
order cases, which is the first time documented in this manuscript. This manuscript is mainly …

Finite-time synchronization of fractional-order delayed fuzzy cellular neural networks with parameter uncertainties

F Du, JG Lu - IEEE Transactions on Fuzzy Systems, 2022 - ieeexplore.ieee.org
The finite-time synchronization (FTS) is studied for a class of fractional-order delayed fuzzy
cellular neural networks (FODFCNNs) with parameter uncertainties. A linear fractional-order …

Asymptotic Stabilization Control of Fractional-Order Memristor-Based Neural Networks System via Combining Vector Lyapunov Function With M-Matrix

Z Zhang, Y Wang, J Zhang, H Zhang… - … on Systems, Man …, 2022 - ieeexplore.ieee.org
This article examines a new measure of combining the vector Lyapunov function with-matrix
for settling the asymptotic stabilization control of fractional-order memristor-based neural …