Spatio-temporal generalised frequency response functions over unbounded spatial domains
Guo, L.Z., Guo, Y.Z., Billings, S.A. et al. (2 more authors)
(2010)
Spatio-temporal generalised frequency response functions over unbounded spatial domains.
Research Report.
ACSE Research Report no. 1017
.
Automatic Control and Systems Engineering, University of Sheffield
Abstract
The concept of generalised frequency response functions (GFRFs), which were developed for nonlinear system identification and analysis, is extended to continuous spatio-temporal dynamical systems normally described by partial differential equations (PDEs). The paper provides the definitions and interpretation of spatio-temporal generalised frequency response functions for linear and nonlinear spatio-temporal systems, defined over unbounded spatial domains, based on an impulse response procedure. A new probing method is also developed to calculate the GFRFs. Both the Diffusion equation and Fisher’s equation are analysed to illustrate the new frequency domain methods.
Metadata
Authors/Creators:
Guo, L.Z.
Guo, Y.Z.
Billings, S.A.
Coca, D.
Lang, Z.Q.
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, Unbounded spatial domain, Volterra series representation
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