Delay Equations, the Left-Shift Operator and the Infinite Dimensional Root Locus
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
Authors/Creators:
Banks, S.P
Abbasi-Ghelmansarai, F
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