Banks, S.P and Abbasi-Ghelmansarai, F (1982) Delay Equations, the Left-Shift Operator and the Infinite Dimensional Root Locus. Research Report. ACSE Report 192 . Department of Control Engineering, University of Sheffield, Mappin Street, Sheffield
Abstract
The distributed parameter root locus is considered and a relation between simple delay equations and the left-shift operator is developed. This gives a rigorous explanation of the s-plane behaviour of delay systems and shows that the classical root locus starting on the open-loop poles of the system can become bands swept out by connected components of the spectrum of the system operator in the infinite-dimensional case.
Metadata
Item Type: | Monograph |
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Authors/Creators: |
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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. |
Dates: |
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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: | MRS ALISON THERESA BARNETT |
Date Deposited: | 27 Aug 2013 08:55 |
Last Modified: | 26 Oct 2016 03:19 |
Status: | Published |
Publisher: | Department of Control Engineering, University of Sheffield, Mappin Street, Sheffield |
Series Name: | ACSE Report 192 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:76326 |