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 …

Spectral entropy analysis and synchronization of a multi-stable fractional-order chaotic system using a novel neural network-based chattering-free sliding mode …

PY Xiong, H Jahanshahi, R Alcaraz, YM Chu… - Chaos, Solitons & …, 2021 - Elsevier
An immense body of research has focused on chaotic systems, mainly because of their
interesting applications in a wide variety of fields. A comprehensive understanding and …

A new multi-stable fractional-order four-dimensional system with self-excited and hidden chaotic attractors: Dynamic analysis and adaptive synchronization using a …

H Jahanshahi, A Yousefpour, JM Munoz-Pacheco… - Applied Soft …, 2020 - Elsevier
Four-dimensional chaotic systems are a very interesting topic for researchers, given their
special features. This paper presents a novel fractional-order four-dimensional chaotic …

Finite-time chaos control and synchronization of fractional-order nonautonomous chaotic (hyperchaotic) systems using fractional nonsingular terminal sliding mode …

MP Aghababa - Nonlinear Dynamics, 2012 - Springer
In this paper, a novel fractional-order terminal sliding mode control approach is introduced to
control/synchronize chaos of fractional-order nonautonomous chaotic/hyperchaotic systems …

Design of sliding mode controller for a class of fractional-order chaotic systems

C Yin, S Zhong, W Chen - … in Nonlinear Science and Numerical Simulation, 2012 - Elsevier
In this paper, a sliding mode control law is designed to control chaos in a class of fractional-
order chaotic systems. A class of unknown fractional-order systems is introduced. Based on …

Adaptive fractional-order switching-type control method design for 3D fractional-order nonlinear systems

C Yin, Y Cheng, YQ Chen, B Stark, S Zhong - Nonlinear Dynamics, 2015 - Springer
In this paper, an adaptive sliding mode technique based on a fractional-order (FO) switching-
type control law is designed to guarantee robust stability for uncertain 3D FO nonlinear …

Chaos synchronization of uncertain chaotic systems using composite nonlinear feedback based integral sliding mode control

S Mobayen - ISA transactions, 2018 - Elsevier
This paper proposes a combination of composite nonlinear feedback and integral sliding
mode techniques for fast and accurate chaos synchronization of uncertain chaotic systems …

[HTML][HTML] Control of a novel class of fractional-order chaotic systems via adaptive sliding mode control approach

C Yin, S Dadras, S Zhong, YQ Chen - Applied Mathematical Modelling, 2013 - Elsevier
In this paper, an adaptive sliding mode controller for a novel class of fractional-order chaotic
systems with uncertainty and external disturbance is proposed to realize chaos control. The …

Dynamical analysis and adaptive fuzzy control for the fractional-order financial risk chaotic system

Sukono, A Sambas, S He, H Liu… - Advances in Difference …, 2020 - Springer
In this paper, a fractional-order model of a financial risk dynamical system is proposed and
the complex behavior of such a system is presented. The basic dynamical behavior of this …

Chaos synchronization of uncertain fractional-order chaotic systems with time delay based on adaptive fuzzy sliding mode control

TC Lin, TY Lee - IEEE Transactions on Fuzzy Systems, 2011 - ieeexplore.ieee.org
This paper proposes an adaptive fuzzy sliding mode control (AFSMC) to synchronize two
different uncertain fractional-order time-delay chaotic systems, which are infinite …