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Globally Exponentially Attractive Set and Synchronization of a Class of Chaotic Finance System

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Advances in Neural Networks – ISNN 2009 (ISNN 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5551))

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Abstract

This paper treats the globally exponentially attractive set and synchronization problem of a chaotic finance system. Firstly, based on the definition of globally exponentially attractive set and Lyapunov stability theory, a sufficient condition for the globally exponentially attractive set was given. Secondly, two control approaches, namely nonlinear feedback control of partial states and transmitted signal method of a single variable, are investigated. In both cases, sufficient conditions for the globally exponential synchronization of two chaotic finance systems are obtained analytically. Finally, numerical simulation results indicates the effectiveness of the proposed methods.

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Authors and Affiliations

  1. Institute of Nonlinear and Complex Systems, China Three Gorges University, Yichang, Hubei, 443002, China

    Jigui Jian, Xiaolian Deng & Jianfeng Wang

Authors
  1. Jigui Jian
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  2. Xiaolian Deng
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  3. Jianfeng Wang
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Editor information

Editors and Affiliations

  1. Departamento de Control Automático, CINVESTAV-IPN, A.P. 14-740, Av.IPN 2508, 07360, México D.F., México

    Wen Yu

  2. Deptartment of Electrical and Computer Engineering, Stevens Institute of Technology, NJ 07030, Hoboken, USA

    Haibo He

  3. Dept. of Electrical and Computer Engineering, South Dakota School of Mines & Technology, 501 E. St. Joseph Street, Rapid City, SD 57701, USA

    Nian Zhang

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© 2009 Springer-Verlag Berlin Heidelberg

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Jian, J., Deng, X., Wang, J. (2009). Globally Exponentially Attractive Set and Synchronization of a Class of Chaotic Finance System. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5551. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01507-6_30

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  • DOI: https://doi.org/10.1007/978-3-642-01507-6_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01506-9

  • Online ISBN: 978-3-642-01507-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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