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.
@article{bwmeta1.element.doi-10_1515_math-2017-0087,
author = {Qiaoping Li and Sanyang Liu},
title = {Dual-stage adaptive finite-time modified function projective multi-lag combined synchronization for multiple uncertain chaotic systems},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {1035-1047},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0087}
}
Qiaoping Li; Sanyang Liu. Dual-stage adaptive finite-time modified function projective multi-lag combined synchronization for multiple uncertain chaotic systems. Open Mathematics, Tome 15 (2017) pp. 1035-1047. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0087/