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The IOSS Chaos Synchronization Method |
| Choon Ki Ahn*
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Faculty of the Department of Automotive Engineering, Seoul National University of Science & Technology, 172 Gongneung 2-dong, Nowon-gu, Seoul 139-743, Korea
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| Cite this article: |
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Choon Ki Ahn 2011 Chin. Phys. Lett. 28 100504 |
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Abstract A new synchronization method, called the input/output-to-state stable synchronization (IOSSS) method, is proposed for a general class of chaotic systems with external disturbance. By introducing Lyapunov stability theory and linear matrix inequality (LMI) for the first time, the IOSSS controller is shown to not only guarantee the synchronization of the chaotic systems, but also reduce the effect of external disturbance. The proposed IOSSS controller can be obtained by solving the LMI, which can easily be done using standard numerical packages. A numerical example is given to demonstrate the availability of the proposed method.
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| Keywords:
05.45.-a
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Received: 18 February 2011
Published: 28 September 2011
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| PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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