Title: Limitations of a class of stabilization methods for delay systems
Authors: Engelborghs, Koen ×
Dambrine, M
Roose, Dirk #
Issue Date: Feb-2001
Publisher: Institute of Electrical and Electronics Engineers
Series Title: IEEE Transactions on Automatic Control vol:46 issue:2 pages:336-339
Abstract: In this note, we investigate limitations of certain stabilization methods for time-delay systems. The class of methods under consideration implements the control law through a Volterra integral equation of the second kind. Using as an example the pole placement approach of Manitius and Olbrot, we illustrate how instability of the difference part of the control law leads to instability in the closed-loop system, in case the implementation is done via numerical quadrature, The outcome of our analysis provides computable limitations to stability and a maximum allowable size of the (input) delay.
ISSN: 0018-9286
Publication status: published
KU Leuven publication type: IT
Appears in Collections:NUMA, Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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