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Adaptive H ∞ synchronisation of two different general chaotic systems with external disturbances

Adaptive H ∞ synchronisation of two different general chaotic systems with external disturbances We investigate the synchronisation of two different general chaotic systems with external disturbances via the adaptive H ∞ control technique. Based on the Lyapunov stability theory and linear matrix inequality (LMI), several adaptive H ∞ synchronisation schemes are established which guarantee robust asymptotically synchronisation for the drive system and the noise-perturbed response system as well as achieving a prescribed robust H ∞ performance level. Finally, the Lorenz system and the noise-perturbed Rössler system are taken as an example to analyse the adaptive H ∞ synchronisation process. The numerical simulations have shown the correctness and effectiveness of the proposed methods. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Systems, Control and Communications Inderscience Publishers

Adaptive H ∞ synchronisation of two different general chaotic systems with external disturbances

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Publisher
Inderscience Publishers
Copyright
Copyright © Inderscience Enterprises Ltd. All rights reserved
ISSN
1755-9340
eISSN
1755-9359
DOI
10.1504/IJSCC.2013.054146
Publisher site
See Article on Publisher Site

Abstract

We investigate the synchronisation of two different general chaotic systems with external disturbances via the adaptive H ∞ control technique. Based on the Lyapunov stability theory and linear matrix inequality (LMI), several adaptive H ∞ synchronisation schemes are established which guarantee robust asymptotically synchronisation for the drive system and the noise-perturbed response system as well as achieving a prescribed robust H ∞ performance level. Finally, the Lorenz system and the noise-perturbed Rössler system are taken as an example to analyse the adaptive H ∞ synchronisation process. The numerical simulations have shown the correctness and effectiveness of the proposed methods.

Journal

International Journal of Systems, Control and CommunicationsInderscience Publishers

Published: Jan 1, 2013

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