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

Shervin Erfani and Nima Bayan

International Journal of Systems Science, 2013, vol. 44, issue 8, 1450-1467

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.

Date: 2013
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DOI: 10.1080/00207721.2012.659689

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