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Spatio-temporal generalised frequency response functions over bounded spatial domains

Guo, L.Z., Guo, Y.Z., Billings, S.A., Coca, D. and Lang, Z.Q. (2010) Spatio-temporal generalised frequency response functions over bounded spatial domains. Research Report. ACSE Research Report no. 1018 . Automatic Control and Systems Engineering, University of Sheffield

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Abstract

In a companion paper (Guo, Guo, Billings, Coca, and Lang 2010), the concept of frequency response functions (GFRFs) has been extended to describe the characteristics of spatio-temporal dynamical systems over an unbounded spatial domain from a frequency domain point of view. In this paper, a similar point of view will be taken to investigate spatial-temporal dynamical systems over a bounded spatial domain in the frequency domain. The main difference is that due to the bounded spatial domain, the property of translation invariance with respect to the spatial domain is not valid any more. In order to overcome this, the paper provides a new definition of impulse response functions, which is different from the standard impulse definitions. The definitions and interpretation of spatio-temporal generalised frequency response functions are given for linear and nonlinear spatio-temporal systems based on this newly defined impulse response function. Examples are provided to illustrate the new frequency domain methods.

Item Type: Monograph (Research Report)
Copyright, Publisher and Additional Information: The Department of Automatic Control and Systems Engineering research reports offer a forum for the research output of the academic staff and research students of the Department at the University of Sheffield. Papers are reviewed for quality and presentation by a departmental editor. However, the contents and opinions expressed remain the responsibility of the authors. Some papers in the series may have been subsequently published elsewhere and you are advised to cite the later published version in these instances.
Keywords: Generalised frequency response, spatio-temporal systems, bounded spatial domain, Volterra series representation
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) > ACSE Research Reports
Depositing User: Miss Anthea Tucker
Date Deposited: 18 Oct 2012 08:48
Last Modified: 07 Jun 2014 07:04
Status: Published
Publisher: Automatic Control and Systems Engineering, University of Sheffield
URI: http://eprints.whiterose.ac.uk/id/eprint/74669

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