DocumentCode :
848210
Title :
Robust stability under additive perturbations
Author :
Bhaya, A. ; Desoer, C.A.
Author_Institution :
University of California, Berkeley, CA, USA
Volume :
30
Issue :
12
fYear :
1985
fDate :
12/1/1985 12:00:00 AM
Firstpage :
1233
Lastpage :
1234
Abstract :
We consider a MIMO linear time-invariant feedback system1 S(P, C) which is assumed to be u -stable. The plant P is subjected to an additive perturbation \\Delta P which is proper but not necessarily stable. We prove that the perturbed system is u -stable if and only if \\Delta P[I + Q.\\Delta P]^{-1} is u -stable. (Here Q: = C(I + PC)^{-1}.)
Keywords :
Perturbation methods; Robustness, linear systems; Artificial intelligence; Helium; MIMO; Robust stability; State feedback; Sufficient conditions; Writing;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1985.1103868
Filename :
1103868
Link To Document :
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