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 …

Fast fixed-time nonsingular terminal sliding mode control and its application to chaos suppression in power system

J Ni, L Liu, C Liu, X Hu, S Li - IEEE Transactions on Circuits and …, 2016 - ieeexplore.ieee.org
This brief presents a novel control scheme to achieve fast fixed-time system stabilization.
Based on fixed-time stability theory, a novel fixed-time stable system is presented. Using the …

A fractional atmospheric circulation system under the influence of a sliding mode controller

RN Premakumari, C Baishya, P Veeresha, L Akinyemi - Symmetry, 2022 - mdpi.com
The earth's surface is heated by the large-scale movement of air known as atmospheric
circulation, which works in conjunction with ocean circulation. More than 10 5 variables are …

Application of chaos in simulated annealing

J Mingjun, T Huanwen - Chaos, Solitons & Fractals, 2004 - Elsevier
Simulated annealing (SA) has been applied with success to many numerical and
combinatorial optimization problems in recent years. SA has a rather slow convergence rate …

Control of a class of fractional-order chaotic systems via sliding mode

D Chen, Y Liu, X Ma, R Zhang - Nonlinear Dynamics, 2012 - Springer
This paper investigates the chaos control of a class of fractional-order chaotic systems via
sliding mode. First, the sliding mode control law is derived to make the states of the fractional …

Control of chaos: methods and applications. II. Applications

BR Andrievskii, AL Fradkov - Automation and remote control, 2004 - Springer
Reviewed were the problems and methods for control of chaos, which in the last decade
was the subject of intensive studies. Consideration was given to their application in various …

A chaos control strategy for the fractional 3D Lotka–Volterra like attractor

MK Naik, C Baishya, P Veeresha - Mathematics and Computers in …, 2023 - Elsevier
In this paper, we have considered a three-dimensional Lotka–Volterra attractor in the frame
of the Caputo fractional derivative to examine its dynamics. The theoretical concepts like …

Chaos control using sliding-mode theory

JM Nazzal, AN Natsheh - Chaos, Solitons & Fractals, 2007 - Elsevier
Chaos control means to design a controller that is able to mitigating or eliminating the chaos
behavior of nonlinear systems that experiencing such phenomenon. In this paper, a …

Chaotic imperialist competitive algorithm for optimum design of truss structures

S Talatahari, A Kaveh, R Sheikholeslami - Structural and Multidisciplinary …, 2012 - Springer
The imperialist competitive algorithm is a new socio-politically motivated optimization
algorithm which recently is applied for structural problems. This paper utilizes the idea of …

Learning FCM by chaotic simulated annealing

S Alizadeh, M Ghazanfari - Chaos, Solitons & Fractals, 2009 - Elsevier
Fuzzy cognitive map (FCM) is a directed graph, which shows the relations between essential
components in complex systems. It is a very convenient, simple, and powerful tool, which is …