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
Link To Document :
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