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Generalized synchronization and control for incommensurate fractional unified chaotic system and applications in secure communication. (English) Zbl 1256.93084

Summary: A fractional differential controller for an incommensurate fractional unified chaotic system is described and proved by using the Gershgorin circle theorem. 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 the chaotic masking scheme are shown by using numerical and experimental simulations.

MSC:

93D15 Stabilization of systems by feedback
94A05 Communication theory