Computation of the frequency responses for distributed systems with one spatial variable

Binh K. Lieu, Mihailo R. Jovanović

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

For a class of distributed systems with one spatial variable, we develop a method for computing the maximum singular value of the frequency response operator. This computation is typically done by resorting to finite-dimensional approximations of the underlying operators. In this paper, we introduce an alternative approach that avoids the need for numerical approximation of the operators in the evolution model. This involves two steps: (i) recasting the frequency response operator as a two point boundary value problem; and (ii) using state-of-the-art automatic spectral collocation techniques for solving the resulting boundary value problems with accuracy comparable to machine precision. We provide an example from viscoelastic fluid dynamics to illustrate the utility of the proposed method.

Original languageEnglish (US)
Title of host publication2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Pages6956-6961
Number of pages6
DOIs
StatePublished - Dec 1 2011
Event2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States
Duration: Dec 12 2011Dec 15 2011

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
CountryUnited States
CityOrlando, FL
Period12/12/1112/15/11

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