Generalized synchronization and control for incommensurate fractional unified chaotic system and applications in secure communication

Hongtao Liang; Zhen Wang; Zongmin Yue; Ronghui Lu

Kybernetika (2012)

  • Volume: 48, Issue: 2, page 190-205
  • ISSN: 0023-5954

Abstract

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A fractional differential controller for incommensurate fractional unified chaotic system is described and proved by using the Gershgorin circle theorem in this paper. Also, based on the idea of a nonlinear observer, a new method for generalized synchronization (GS) of this system is proposed. Furthermore, the GS technique is applied in secure communication (SC), and a chaotic masking system is designed. Finally, the proposed fractional differential controller, GS and chaotic masking scheme are showed by using numerical and experimental simulations.

How to cite

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Liang, Hongtao, et al. "Generalized synchronization and control for incommensurate fractional unified chaotic system and applications in secure communication." Kybernetika 48.2 (2012): 190-205. <http://eudml.org/doc/246442>.

@article{Liang2012,
abstract = {A fractional differential controller for incommensurate fractional unified chaotic system is described and proved by using the Gershgorin circle theorem in this paper. Also, based on the idea of a nonlinear observer, a new method for generalized synchronization (GS) of this system is proposed. Furthermore, the GS technique is applied in secure communication (SC), and a chaotic masking system is designed. Finally, the proposed fractional differential controller, GS and chaotic masking scheme are showed by using numerical and experimental simulations.},
author = {Liang, Hongtao, Wang, Zhen, Yue, Zongmin, Lu, Ronghui},
journal = {Kybernetika},
keywords = {fractional chaotic systems; fractional differential controller; GS; state observer; Gershgorin circle theorem; pole assignment algorithm; SC; chaotic masking; fractional chaotic systems; fractional differential controller; generalized synchronization; state observer; Gershgorin circle theorem; pole assignment algorithm; secure communication; chaotic masking},
language = {eng},
number = {2},
pages = {190-205},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Generalized synchronization and control for incommensurate fractional unified chaotic system and applications in secure communication},
url = {http://eudml.org/doc/246442},
volume = {48},
year = {2012},
}

TY - JOUR
AU - Liang, Hongtao
AU - Wang, Zhen
AU - Yue, Zongmin
AU - Lu, Ronghui
TI - Generalized synchronization and control for incommensurate fractional unified chaotic system and applications in secure communication
JO - Kybernetika
PY - 2012
PB - Institute of Information Theory and Automation AS CR
VL - 48
IS - 2
SP - 190
EP - 205
AB - A fractional differential controller for incommensurate fractional unified chaotic system is described and proved by using the Gershgorin circle theorem in this paper. Also, based on the idea of a nonlinear observer, a new method for generalized synchronization (GS) of this system is proposed. Furthermore, the GS technique is applied in secure communication (SC), and a chaotic masking system is designed. Finally, the proposed fractional differential controller, GS and chaotic masking scheme are showed by using numerical and experimental simulations.
LA - eng
KW - fractional chaotic systems; fractional differential controller; GS; state observer; Gershgorin circle theorem; pole assignment algorithm; SC; chaotic masking; fractional chaotic systems; fractional differential controller; generalized synchronization; state observer; Gershgorin circle theorem; pole assignment algorithm; secure communication; chaotic masking
UR - http://eudml.org/doc/246442
ER -

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Citations in EuDML Documents

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  1. Hamed Tirandaz, Chaos synchronization of TSUCS unified chaotic system, a modified function projective control method
  2. Zhen Wang, Wei Sun, Zhouchao Wei, Xiaojian Xi, Dynamics analysis and robust modified function projective synchronization of Sprott E system with quadratic perturbation
  3. Quanjun Wu, Hua Zhang, Drive network to a desired orbit by pinning control
  4. Mihua Ma, Hua Zhang, Jianping Cai, Jin Zhou, Impulsive practical synchronization of n-dimensional nonautonomous systems with parameter mismatch
  5. Ke Ding, Qing-Long Han, Synchronization of two coupled Hindmarsh-Rose neurons

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