Delay equations, the left-shift operator and the infinite-dimensional root locus
- 1 February 1983
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 37 (2) , 235-249
- https://doi.org/10.1080/00207179.1983.9753065
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 a-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.Keywords
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