DocumentCode
1057914
Title
Comments, with reply, on "Stability of a polytope of matrices: counterexamples" by B.R. Barmish et al
Author
Soh, Yeng Chai ; Foo, Y.K. ; Barmish, B. Ross ; Fu, Minyue ; Saleh, Saleh
Author_Institution
Sch. of Electr. & Electron. Eng., Nanyang Technol. Inst., Singapore
Volume
34
Issue
12
fYear
1989
Firstpage
1324
Lastpage
1326
Abstract
The commenters show that the counterexample given in the above-mentioned paper (ibid., vol.33, no.6, p.569-72, June 1988) does not invalidate the conjecture about the necessary and sufficient conditions for the stability of interval matrices. Comments on the relationship between interval matrices and polytopes of polynomials are also given. The authors reply that their counterexample is valid and attribute the misunderstanding to insufficiently precise wording in their paper.<>
Keywords
matrix algebra; polynomials; interval matrices; necessary conditions; polytope of matrices; polytopes of polynomials; stability; sufficient conditions; Artificial intelligence; Delay effects; Minerals; Petroleum; Polynomials; Robust stability; Stability analysis; Sufficient conditions; Systems engineering and theory; Testing;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.40790
Filename
40790
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