Robust global synchronization of delayed incommensurate fractional-order gene regulatory networks

E Bahrampour, MH Asemani, M Dehghani - Chaos, Solitons & Fractals, 2023 - Elsevier
This paper investigates the issue of robust synchronization for delayed incommensurate
fractional-order gene regularity networks (IFOGRNs). The common stability analyzing …

Stability and adaptive control-based synchronization of delayed uncertain fractional-order gene regulatory networks

J Yang, Y Sheng, HL Li, C Hu - Chaos, Solitons & Fractals, 2023 - Elsevier
This paper is devoted to investigating stability and synchronization issues for delayed
uncertain fractional-order gene regulatory networks (DUFOGRNs). First, the existence and …

Global synchronization and anti-synchronization of fractional-order complex-valued gene regulatory networks with time-varying delays

Z Wu, Z Wang, T Zhou, S Tan - IEEE Access, 2020 - ieeexplore.ieee.org
This paper presents the analytical and numerical investigation on the global synchronization
and anti-synchronization for a class of drive-response systems of fractional-order complex …

Stability and bifurcations in fractional-order gene regulatory networks

E Kaslik, IR Rădulescu - Applied Mathematics and Computation, 2022 - Elsevier
A fractional-order mathematical model of a large-scale GRN is presented, focusing on the
positivity of solutions and on the stability analysis of equilibria based on Matignon's theorem …

[HTML][HTML] Bifurcation control of a novel fractional-order gene regulatory network with incommensurate order and time delay

Y Gao, N Li - Results in Physics, 2023 - Elsevier
Gene regulatory networks play an extremely important role in human life activities. This
paper presents a novel fractional-order gene regulatory network model (NFGRNM). The …

A Razumikhin approach to stability and synchronization criteria for fractional order time delayed gene regulatory networks

P Anbalagan, E Hincal, R Ramachandran, D Baleanu… - 2021 - earsiv.cankaya.edu.tr
This manuscript is concerned with the stability and synchronization for fractional-order
delayed gene regulatory networks (FODGRNs) via Razumikhin approach. First of all, the …

Stability analysis and bifurcation control of a delayed incommensurate fractional-order gene regulatory network

F Liu, T Dong, ZH Guan, HO Wang - International Journal of …, 2020 - World Scientific
In this paper, stability analysis and bifurcation control for a novel incommensurate fractional-
order delayed gene regulatory network are investigated. Firstly, the associated characteristic …

Global uniform asymptotical stability for fractional-order gene regulatory networks with time-varying delays and structured uncertainties

Z Wu, Z Wang, T Zhou - Advances in Difference Equations, 2021 - Springer
In this paper, we investigate a class of fractional-order gene regulatory networks with time-
varying delays and structured uncertainties (UDFGRNs). First, we deduce the existence and …

Global dissipativity and adaptive synchronization for fractional‐order time‐delayed genetic regulatory networks

Z Zhang, W Zhang, P Anbalagan… - Asian Journal of …, 2022 - Wiley Online Library
This manuscript examines global dissipativity and synchronization criteria for time‐delayed
fractional‐order gene regulatory networks (FGRNs). The Lyapunov stability theory is used to …

Novel adaptive strategies for synchronization control mechanism in nonlinear dynamic fuzzy modeling of fractional-order genetic regulatory networks

G Narayanan, MS Ali, R Karthikeyan, G Rajchakit… - Chaos, Solitons & …, 2022 - Elsevier
The synchronization problem for a nonlinear dynamic fuzzy modeling of fractional-order
genetic regulatory networks with adaptive feedback controllers is addressed in this article …