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Characterisation of nonlinear and linear time-varying systems by Laplace transformation

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  • Shervin Erfani
  • Nima Bayan

Abstract

In this article we elaborate on various characterisations of nonlinear systems. Specifically, we focus on the frequency-domain characterisation of the class of single-input single-output (SISO) linear time-varying (LTV) systems. We use the model introduced by Wiener using Volterra functional and later elaborated by others. The application of the multidimensional Laplace transform (MDLT) method as a fundamental tool in analysing variable systems and understanding system dynamic behaviours is emphasised. In particular, applications of double or two-dimensional Laplace transform (2DLT) for the analysis and synthesis of LTV circuits and systems are detailed. Examples worked out that illustrate the method and demonstrate its validity in the frequency-domain.

Suggested Citation

  • Shervin Erfani & Nima Bayan, 2013. "Characterisation of nonlinear and linear time-varying systems by Laplace transformation," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(8), pages 1450-1467.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:8:p:1450-1467
    DOI: 10.1080/00207721.2012.659689
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    Cited by:

    1. Manuel Duarte Ortigueira & José Tenreiro Machado, 2020. "Revisiting the 1D and 2D Laplace Transforms," Mathematics, MDPI, vol. 8(8), pages 1-24, August.

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