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Paper details
Number 4 - December 2018
Volume 28 - 2018
Finite-time adaptive modified function projective multi-lag generalized compound synchronization for multiple uncertain chaotic systems
Qiaoping Li, Sanyang Liu, Yonggang Chen
Abstract
In this paper, for multiple different chaotic systems with fully unknown parameters, a novel synchronization scheme called
‘modified function projective multi-lag generalized compound synchronization’ is put forward. As an advantage of the
new method, not only the addition and subtraction, but also the multiplication of multiple chaotic systems are taken into
consideration. This makes the signal hidden channels more abundant and the signal hidden methods more flexible. By
virtue of finite-time stability theory and an adaptive control technique, a finite-time adaptive control scheme is established
to realize the finite-time synchronization and to properly evaluate the unknown parameters. A detailed theoretical derivation
and a specific numerical simulation demonstrate the feasibility and validity of the advanced scheme.
Keywords
finite-time adaptive control, modified function projective multiple-lag generalized compound synchronization, unknown parameter, chaotic systems