DocumentCode
1403187
Title
Comments regarding "Stability margin evaluation for uncertain linear systems" [and counterexample]
Author
Ooba, T. ; Funahashi, Y. ; Yau-Tarng Juang
Author_Institution
Dept. of Mech. Eng., Nagoya Inst. of Technol., Japan
Volume
45
Issue
10
fYear
2000
Firstpage
1933
Lastpage
1935
Abstract
The stability bound proposed in the above mentioned paper by Gong and Thompson (IEEE Trans. Automat. Contr. vol.39 (1994)) cannot be applied to all matrices having unstable unitary factor in their polar decompositions. The case study pursued in that paper and the succeeding papers is completed in this note in a rational way. Some basic results about the eigenvalues of unitary polar factor are also presented.
Keywords
continuous time systems; eigenvalues and eigenfunctions; linear systems; matrix algebra; poles and zeros; stability; uncertain systems; continuous time systems; eigenvalues; linear systems; multiplicative perturbations; polar decompositions; stability bound; stability margin; uncertain systems; unitary polar; Eigenvalues and eigenfunctions; Linear systems; Matrix decomposition; Mechanical engineering; Robust stability; Uncertain systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2000.881003
Filename
881003
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