DocumentCode :
823487
Title :
Stabilizability of the system \\dot{x}(t)=Fx(t)+Gu(t-h)
Author :
Przyluski, K.
Author_Institution :
Politechnika Warszawska, Warsaw, Poland
Volume :
22
Issue :
2
fYear :
1977
fDate :
4/1/1977 12:00:00 AM
Firstpage :
269
Lastpage :
270
Abstract :
Stabilizability problem for the system \\dot{x}(t)= Fx(t) + Gu(t - h) is considered. For appropriate discrete model x_{k+1} = Ax_{k} + Bu_{k-1} the feedback controller which has the form u_{k} =\\Sigma \\min{i=0}\\max {l}F_{i}x_{k-i} is proposed. It is proven that controllability of the pair ( A,B ) and cyclicity of the A matrix imply stabilizability. Some extensions and applications are also mentioned.
Keywords :
Delay systems; Linear systems, time-invariant continuous-time; Linear systems, time-invariant discrete-time; Stability; State-feedback; Adaptive control; Automatic control; Control system synthesis; Control systems; Controllability; Delay effects; Feedback; Linear systems; Polynomials; Stability;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1977.1101444
Filename :
1101444
Link To Document :
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