<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

Finite–Time Adaptive Modified Function Projective Multi–Lag Generalized Compound Synchronization for Multiple Uncertain Chaotic Systems

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this paper, for multiple different chaotic systems with fully unknown parameters, a novel synchronization scheme called ‘modified function projective...

Finite–Time Adaptive Modified Function Projective Multi–Lag Generalized Compound Synchronization for Multiple Uncertain Chaotic Systems

Published Online: Jan 11, 2019

Page range: 613 - 624

Received: Oct 11, 2017

Accepted: Apr 10, 2018

DOI: https://doi.org/10.2478/amcs-2018-0047

Keywords
finite-time adaptive control, modified function projective multiple-lag generalized compound synchronization, unknown parameter, chaotic systems

© 2019 Qiaoping Li, et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Finite–Time Adaptive Modified Function Projective Multi–Lag Generalized Compound Synchronization for Multiple Uncertain Chaotic Systems

Published Online: Jan 11, 2019

Page range: 613 - 624

Received: Oct 11, 2017

Accepted: Apr 10, 2018

DOI: https://doi.org/10.2478/amcs-2018-0047

Keywordsfinite-time adaptive control, modified function projective multiple-lag generalized compound synchronization, unknown parameter, chaotic systems

© 2019 Qiaoping Li, et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
finite-time adaptive control, modified function projective multiple-lag generalized compound synchronization, unknown parameter, chaotic systems