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Boundary Controller of the Anti-stable Fractional-Order Vibration Systems

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Book cover Advances in Neural Networks – ISNN 2011 (ISNN 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6676))

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Abstract

This paper discusses two models of the anti-stable vibration system. The anti-stable vibration system can be expressed the integer wave model and the fractional wave model. Many of engineering physical phenomenons can be modeled more accurately and authentically using the fractional order differential equations. The fractional wave equation is obtained from the standard integer wave equation by replacing the first-order time derivative with a fractional derivative of order b. The boundary controller of the two models of string vibration systems will be considered. This paper presents a boundary control method of the anti-stable fractional-order vibration systems. Numerical simulations are used to illustrate the improvements of the proposed control method for the fractional vibration systems.

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References

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Author information

Authors and Affiliations

  1. College of Information Science and Engineering, Shenyang ligong University, Shenyang, China

    Yanzhu Zhang, Xiaoyan Wang & Yanmei Wang

Authors
  1. Yanzhu Zhang
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  2. Xiaoyan Wang
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  3. Yanmei Wang
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Editor information

Editors and Affiliations

  1. Institute of Automation, Key Laboratory of Complex Systems and Intelligence Science, Chinese Academy of Sciences, 100190, Beijing, China

    Derong Liu

  2. College of Information Science and Engineering, Northeastern University, 110004, Shenyang, Liaoing, China

    Huaguang Zhang

  3. Department of Electrical and Computer Engineering, University of Cyprus, 75 Kallipoleos Avenue, 1678, Nicosia, Cyprus

    Marios Polycarpou

  4. Dipartimento di Elettronica, Politecnico di Milano, Piazza L. da Vinci 32, 20133, Milano, Italy

    Cesare Alippi

  5. Deptartment of Electrical, Computer and Biomedical Engineering, University of Rhode Island, 02881, Kingston, RI, USA

    Haibo He

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© 2011 Springer-Verlag Berlin Heidelberg

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Zhang, Y., Wang, X., Wang, Y. (2011). Boundary Controller of the Anti-stable Fractional-Order Vibration Systems. In: Liu, D., Zhang, H., Polycarpou, M., Alippi, C., He, H. (eds) Advances in Neural Networks – ISNN 2011. ISNN 2011. Lecture Notes in Computer Science, vol 6676. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21090-7_21

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  • DOI: https://doi.org/10.1007/978-3-642-21090-7_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21089-1

  • Online ISBN: 978-3-642-21090-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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