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 …

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 …

[图书][B] Special functions and analysis of differential equations

P Agarwal, RP Agarwal, M Ruzhansky - 2020 - books.google.com
Differential Equations are very important tools in Mathematical Analysis. They are widely
found in mathematics itself and in its applications to statistics, computing, electrical circuit …

Active control strategy for synchronization and anti-synchronization of a fractional chaotic financial system

C Huang, J Cao - Physica A: Statistical Mechanics and its Applications, 2017 - Elsevier
This paper is concerned with the issues of synchronization and anti-synchronization for
fractional chaotic financial system with market confidence by taking advantage of active …

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 …

[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 …

Fuzzy-model-based sampled-data control of chaotic systems: A fuzzy time-dependent Lyapunov–Krasovskii functional approach

Y Wang, Y Xia, P Zhou - IEEE Transactions on fuzzy systems, 2016 - ieeexplore.ieee.org
This paper addresses the sampled-data stabilization problem for chaotic systems
represented by Takagi-Sugeno (TS) fuzzy models. If the upper bounds for the time derivative …

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 …

Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller

MP Aghababa - Communications in Nonlinear Science and Numerical …, 2012 - Elsevier
This paper proposes a novel fractional-order sliding mode approach for stabilization and
synchronization of a class of fractional-order chaotic systems. Based on the fractional …

Observers-based event-triggered adaptive fuzzy backstepping synchronization of uncertain fractional order chaotic systems

H Dong, J Cao, H Liu - Chaos: An Interdisciplinary Journal of Nonlinear …, 2023 - pubs.aip.org
In this paper, for a class of uncertain fractional order chaotic systems with disturbances and
partially unmeasurable states, an observer-based event-triggered adaptive fuzzy …