Adaptive multi switching combination synchronization of chaotic systems with unknown parameters

Adaptive control method is used to investigate the multi switching combination synchronization (MSCS) between three non identical chaotic systems with fully unknown parameters. In MSCS, the state variables of two drive systems synchronize with different state variables of response system, simultaneo...

Full description

Saved in:
Bibliographic Details
Published in:International journal of dynamics and control 2018-06, Vol.6 (2), p.621-629
Main Authors: Khan, Ayub, Khattar, Dinesh, Prajapati, Nitish
Format: Article
Language:English
Subjects:
Adaptive control
Chaos theory
Complexity
Computer simulation
Control
Control and Systems Theory
Control stability
Dynamical Systems
Engineering
Parameter modification
Switching
Synchronism
Vibration
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:Adaptive control method is used to investigate the multi switching combination synchronization (MSCS) between three non identical chaotic systems with fully unknown parameters. In MSCS, the state variables of two drive systems synchronize with different state variables of response system, simultaneously. The Ritikate and Windmi chaotic systems are taken as drive systems and Chen system is taken as response system in the presence of unknown parameters. Some cases of multi switching modified projective synchronization among chaotic systems are obtained as special cases of MSCS. Using Lyapunov stability theory and adaptive control technique, sufficient condition is obtained for attaining the desired theoretical results. Numerical simulations are performed using MATLAB to verify the results.
ISSN:2195-268X
2195-2698
DOI:10.1007/s40435-017-0320-z