On the synchronization and stabilization of fractional-order chaotic systems: Recent advances and future perspectives

MA Balootaki, H Rahmani, H Moeinkhah… - Physica A: Statistical …, 2020 - Elsevier
Chaos is one of the most significant findings in physics and engineering. Fractional-order
chaotic systems are nonlinear systems with special features which, some of them include …

Nonsingular integral-type dynamic finite-time synchronization for hyper-chaotic systems

KA Alattas, J Mostafaee, A Sambas, AK Alanazi… - Mathematics, 2021 - mdpi.com
In this study, the synchronization problem of chaotic systems using integral-type sliding
mode control for a category of hyper-chaotic systems is considered. The proposed control …

Adaptive model-free synchronization of different fractional-order neural networks with an application in cryptography

M Roohi, C Zhang, Y Chen - Nonlinear Dynamics, 2020 - Springer
In this paper, an adaptive model-free control method is designed to synchronize a class of
fractional-order neural networks which has a vast application in engineering and industry …

A new fractional sliding mode controller based on nonlinear fractional-order proportional integral derivative controller structure to synchronize fractional-order chaotic …

SZ Mirrezapour, A Zare… - Journal of Vibration and …, 2022 - journals.sagepub.com
This study presents a new fractional sliding mode controller based on nonlinear fractional-
order proportional integral derivative controllers to synchronize fractional-order chaotic …

Backstepping-based adaptive control of a class of uncertain incommensurate fractional-order nonlinear systems with external disturbance

X Li, J He, C Wen, XK Liu - IEEE Transactions on Industrial …, 2021 - ieeexplore.ieee.org
Normally, achieving asymptotic convergence in the presence of unknown arbitrarily
bounded external disturbance requires noncontinuous control signals. In this article, an …

Robust adaptive backstepping control of uncertain fractional-order nonlinear systems with input time delay

MM Zirkohi - Mathematics and Computers in Simulation, 2022 - Elsevier
In the present work, a fractional adaptive backstepping control approach is proposed for
controlling a class of uncertain fractional-order nonlinear systems subjected to unknown …

Analysis, circuit implementation and synchronization control of a hyperchaotic system

S Yan, E Wang, Q Wang, X Sun, Y Ren - Physica Scripta, 2021 - iopscience.iop.org
A four-dimensional autonomous hyperchaotic system is constructed, and the basic
characteristics of the system are studied by the power spectrum, Poincaré maps, 0–1 test …

Stabilization of a class of fractional order systems with both uncertainty and disturbance

R Peng, C Jiang, R Guo - IEEE Access, 2021 - ieeexplore.ieee.org
This paper investigates the stabilization problem of fractional order systems with both model
uncertainty and external disturbance. By combining the linear feedback control method, the …

Multistability, coexisting behaviours and control of fractional order dissipative small scale grid with disturbances and noise

PC Gupta, PP Singh - The European Physical Journal Special Topics, 2023 - Springer
This paper introduces nonlinear analysis and control of a fraction order small-scale grid
(SSG) under the influence of disturbances and noise. Random wind power supply and …

Fractional order chattering-free robust adaptive backstepping control technique

Y Wei, D Sheng, Y Chen, Y Wang - Nonlinear Dynamics, 2019 - Springer
This paper proposes an observer-based fractional order robust adaptive backstepping
control scheme for incommensurate fractional order systems with partial measurable state …