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

Qiaoping Li; Sanyang Liu

Open Mathematics (2017)

  • Volume: 15, Issue: 1, page 1035-1047
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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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 -

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