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 …
chaotic systems are nonlinear systems with special features which, some of them include …
Nonsingular integral-type dynamic finite-time synchronization for hyper-chaotic systems
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 …
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
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 …
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 …
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
Normally, achieving asymptotic convergence in the presence of unknown arbitrarily
bounded external disturbance requires noncontinuous control signals. In this article, an …
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 …
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 …
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 …
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
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 …
(SSG) under the influence of disturbances and noise. Random wind power supply and …
Fractional order chattering-free robust adaptive backstepping control technique
This paper proposes an observer-based fractional order robust adaptive backstepping
control scheme for incommensurate fractional order systems with partial measurable state …
control scheme for incommensurate fractional order systems with partial measurable state …