Finite time synchronization of fractional chaotic systems with several slaves in an optimal manner

Optimal synchronization of chaotic fractional differential equations with one master and several slaves in finite time is the main aim of this paper. To achieve this goal, we convert the finite time synchronization problem to a fractional optimal control problem; then by solving it, we achieve the a...

Full description

Saved in:
Bibliographic Details
Published in:Physica scripta 2020-03, Vol.95 (3), p.35219
Main Authors: Ardehaei, M Farmani, Farahi, M H, Effati, S
Format: Article
Language:English
Subjects:
chaotic systems
fractional calculus
optimal control
optimal synchronization
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Optimal synchronization of chaotic fractional differential equations with one master and several slaves in finite time is the main aim of this paper. To achieve this goal, we convert the finite time synchronization problem to a fractional optimal control problem; then by solving it, we achieve the active control. In this way, we use Bernstein polynomials and prove that the corresponding minimization problem is a quadratic convex problem. Some examples using the famous Lorenz, Chen, Lu, and Liu systems are given to show the efficiency of the method.
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/ab474d