DocumentCode
1402792
Title
Two examples of ill-posedness with respect to time delays revisited
Author
Datko, R.
Author_Institution
Dept. of Math., Georgetown Univ., Washington, DC
Volume
42
Issue
4
fYear
1997
fDate
4/1/1997 12:00:00 AM
Firstpage
511
Lastpage
515
Abstract
We revisit two examples of elastic control systems which are stabilized by boundary feedback and then destabilized when time delays occur in the feedback. In the first example, a wave equation with a feedback gain greater than or equal to one, arbitrary divergence rates are obtained for small time delays. In the second example, a Euler-Bernoulli beam, any time delay results in an arbitrary divergence rate
Keywords
delays; feedback; multidimensional systems; stability; wave equations; Euler-Bernoulli beam; boundary feedback; divergence rates; elastic control systems; feedback gain; ill-posedness; time delays; wave equation; Control system synthesis; Control systems; Delay effects; Feedback; Frequency domain analysis; Partial differential equations; Poles and zeros; Propagation delay; Robust stability; Velocity control;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.566660
Filename
566660
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