Dual-stage adaptive finite-time modified function projective multi-lag combined synchronization for multiple uncertain chaotic systems

Qiaoping Li, and Sanyang Liu. "Dual-stage adaptive finite-time modified function projective multi-lag combined synchronization for multiple uncertain chaotic systems." Open Mathematics 15.1 (2017): 1035-1047. <http://eudml.org/doc/288399>.

@article{QiaopingLi2017,
abstract = {In this paper, for multiple different chaotic systems with unknown bounded disturbances and fully unknown parameters, a more general synchronization method called modified function projective multi-lag combined synchronization is proposed. This new method covers almost all of the synchronization methods available. As an advantage of the new method, the drive system is a linear combination of multiple chaotic systems, which makes the signal hidden channels more abundant and the signal hidden methods more flexible. Based on the finite-time stability theory and the sliding mode variable structure control technique, a dual-stage adaptive variable structure control scheme is established to realize the finite-time synchronization and to tackle the parameters well. The detailed theoretical derivation and representative numerical simulation is put forward to demonstrate the correctness and effectiveness of the advanced scheme.},
author = {Qiaoping Li, Sanyang Liu},
journal = {Open Mathematics},
keywords = {Finite-time adaptive control; Modified function projective multi-lag combined synchronization; Sliding mode variable structure control; Chaotic systems; Unknown parameter and disturbance},
language = {eng},
number = {1},
pages = {1035-1047},
title = {Dual-stage adaptive finite-time modified function projective multi-lag combined synchronization for multiple uncertain chaotic systems},
url = {http://eudml.org/doc/288399},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Qiaoping Li
AU - Sanyang Liu
TI - Dual-stage adaptive finite-time modified function projective multi-lag combined synchronization for multiple uncertain chaotic systems
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1035
EP - 1047
AB - In this paper, for multiple different chaotic systems with unknown bounded disturbances and fully unknown parameters, a more general synchronization method called modified function projective multi-lag combined synchronization is proposed. This new method covers almost all of the synchronization methods available. As an advantage of the new method, the drive system is a linear combination of multiple chaotic systems, which makes the signal hidden channels more abundant and the signal hidden methods more flexible. Based on the finite-time stability theory and the sliding mode variable structure control technique, a dual-stage adaptive variable structure control scheme is established to realize the finite-time synchronization and to tackle the parameters well. The detailed theoretical derivation and representative numerical simulation is put forward to demonstrate the correctness and effectiveness of the advanced scheme.
LA - eng
KW - Finite-time adaptive control; Modified function projective multi-lag combined synchronization; Sliding mode variable structure control; Chaotic systems; Unknown parameter and disturbance
UR - http://eudml.org/doc/288399
ER -