DocumentCode
1403238
Title
A paradigm of ill-posedness with respect to time delays
Author
Datko, Richard
Author_Institution
Dept. of Math., Georgetown Univ., Washington, DC, USA
Volume
43
Issue
7
fYear
1998
fDate
7/1/1998 12:00:00 AM
Firstpage
964
Lastpage
967
Abstract
The authors present a simple general model of an infinite-dimensional control system which is stabilized by a velocity feedback, but then destabilized by “small” or “large” time delays in the feedback. This model is in some sense generic for boundary-stabilized conservative hyperbolic linear partial differential equations
Keywords
delay systems; eigenvalues and eigenfunctions; feedback; hyperbolic equations; multidimensional systems; partial differential equations; robust control; Hilbert space; eigenvalues; hyperbolic equations; ill-posedness paradigm; infinite-dimensional system; partial differential equations; time delay systems; velocity feedback; Automatic control; Control system analysis; Control systems; Delay effects; Feedback; Hilbert space; Nonlinear control systems; Nonlinear equations; Partial differential equations; Stability;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.701100
Filename
701100
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