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Cross Function Projective Synchronization of Liu System and the New Lorenz System with Known and Unknown Parameters

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Book cover Proceedings of 2013 Chinese Intelligent Automation Conference

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 255))

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Abstract

In this paper, we focuses on a new way of the function projective synchronization (FPS) of the hyperchaotic Liu system and the hyperchaotic New Lorenz system. We call this new method the cross function projective synchronization (CFPS). Within the two systems, we achieved the CFPS at the first place through a proper control scheme. Furthermore, by designing the parameter update law, the time of reaching projective synchronization could be adjustable. Eventually, several numerical simulations are presented to verify the feasibility and effectiveness of the method.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (61075060), the Innovation Program of Shanghai Municipal Education Commission (12zz064) and the Open Project of State Key Labora-tory of Industrial Control Technology (ICT1231).

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Authors and Affiliations

  1. College of Information Science and Technology, Donghua University, 28 Building, No 300 WenHui Road, ShangHai City, 5006, SongJiang, China

    Yuqing Sun, Wuneng Zhou & Yuan Du

Authors
  1. Yuqing Sun
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  2. Wuneng Zhou
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  3. Yuan Du
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Corresponding author

Correspondence to Yuqing Sun .

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Editors and Affiliations

  1. Department of Computer Science, Tsinghua University, Beijing, China, People's Republic

    Zengqi Sun

  2. Tsinghua University, Beijing, China, People's Republic

    Zhidong Deng

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Sun, Y., Zhou, W., Du, Y. (2013). Cross Function Projective Synchronization of Liu System and the New Lorenz System with Known and Unknown Parameters. In: Sun, Z., Deng, Z. (eds) Proceedings of 2013 Chinese Intelligent Automation Conference. Lecture Notes in Electrical Engineering, vol 255. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38460-8_5

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  • DOI: https://doi.org/10.1007/978-3-642-38460-8_5

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38459-2

  • Online ISBN: 978-3-642-38460-8

  • eBook Packages: EngineeringEngineering (R0)

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