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An Introduction to Volterra Series and Its Application on Mechanical Systems

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Advanced Intelligent Computing Theories and Applications. With Aspects of Contemporary Intelligent Computing Techniques (ICIC 2008)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 15))

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Abstract

This paper reviews linear and non-linear systems and the Volterra series representation. The Volterra series has applications in non-linear system modelling. The Volterra series expansion represents an important model for the representation, analysis, and synthesis of non-linear systems. The first order and second order Volterra systems are reviewed, and the determination of the Volterra kernels is done using two methods. Then the Volterra series is applied to mechanical systems i.e. simple pendulum and a non-linear spring mass system to observe the effect of incorporating non-linearity.

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References

  1. Schetzen, M.: The Volterra and Wiener Theories of Nonlinear Systems. Wiley, Chichester (1980)

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  2. Cherry, J.A.: Distortion Analysis of Weakly Nonlinear Filters Using Volterra Series

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  3. Rugh, W.J.: The Volterra/Wiener Approach. Johns Hopkins University Press, Baltimore (1981)

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  4. Alper, P.: A Consideration of the Discrete Volterra Series. IEEE Transactions Automatic Control 10 (July 1965)

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Author information

Authors and Affiliations

  1. Graduate students at IGIT, Delhi

    C. Bharathy & Pratima Sachdeva

  2. Faculty NSIT, Delhi

    Harish Parthasarthy

  3. Faculty IGIT,  

    Akash Tayal

Authors
  1. C. Bharathy
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  2. Pratima Sachdeva
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  3. Harish Parthasarthy
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  4. Akash Tayal
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Editor information

De-Shuang Huang Donald C. Wunsch II Daniel S. Levine Kang-Hyun Jo

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© 2008 Springer-Verlag Berlin Heidelberg

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Bharathy, C., Sachdeva, P., Parthasarthy, H., Tayal, A. (2008). An Introduction to Volterra Series and Its Application on Mechanical Systems. In: Huang, DS., Wunsch, D.C., Levine, D.S., Jo, KH. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Contemporary Intelligent Computing Techniques. ICIC 2008. Communications in Computer and Information Science, vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85930-7_61

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  • DOI: https://doi.org/10.1007/978-3-540-85930-7_61

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-85929-1

  • Online ISBN: 978-3-540-85930-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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