Title: Characterization of delay-independent stability and delay interference phenomena
Authors: Michiels, Wim ×
Niculescu, Silviu-Iulian #
Issue Date: 2007
Publisher: Society for Industrial and Applied Mathematics
Series Title: SIAM Journal on Control and Optimization vol:45 issue:6 pages:2138-2155
Abstract: The problem of the asymptotic stability independent of delays for a class of linear systems including multiple delays is addressed. Both cases where the delays are allowed to vary independently of each other and where they are restricted to a one-dimensional subspace of the delay-parameter space are considered. It the latter case it turns out that the resulting dependency between the delays (rationally independent, rationally dependent, commensurate) plays an important role. The stability conditions are expressed in terms of the spectral properties of some appropriate complex matrices. As a consequence of the stability study, a complete characterization of the delay interference phenomenon is given. Furthermore, a connection is established with the stability theory for continuous-time delay-difference equations, subjected to delay perturbations. Various illustrative examples complete the paper.
ISSN: 0363-0129
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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