Geodesic
Generalized synchronization and control for incommensurate fractional unified chaotic system and applications in secure communication
Kybernetika, Tome 48 (2012) no. 2, pp. 190-205.

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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.
Classification : 11T71, 65P20, 94A05
Keywords: fractional chaotic systems; fractional differential controller; GS; state observer; Gershgorin circle theorem; pole assignment algorithm; SC; chaotic masking 
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     author = {Liang, Hongtao and Wang, Zhen and Yue, Zongmin and Lu, Ronghui},
     title = {Generalized synchronization and control for incommensurate fractional unified chaotic system and applications in secure communication},
     journal = {Kybernetika},
     pages = {190--205},
     publisher = {mathdoc},
     volume = {48},
     number = {2},
     year = {2012},
     mrnumber = {2954320},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2012__48_2_a1/}
}
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Liang, Hongtao; Wang, Zhen; Yue, Zongmin; Lu, Ronghui. Generalized synchronization and control for incommensurate fractional unified chaotic system and applications in secure communication. Kybernetika, Tome 48 (2012) no. 2, pp. 190-205. http://geodesic.mathdoc.fr/item/KYB_2012__48_2_a1/