DocumentCode :
842819
Title :
Stability of a polytope of matrices: counterexamples
Author :
Barmish, B. Ross ; Fu, M. ; Saleh, S.
Author_Institution :
Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA
Volume :
33
Issue :
6
fYear :
1988
fDate :
6/1/1988 12:00:00 AM
Firstpage :
569
Lastpage :
572
Abstract :
While there have been significant breakthroughs for the stability of a polytope of polynomials since V.L. Kharitonov´s (1978) seminal result on interval polynomials, for a polytope of matrices, the stability problem is considered far from completely resolved. Counterexamples are provided for three conjectures that are directly motivated by the results in the polynomial case. These counterexamples illustrate the fundamental differences between polynomial-stability and matrix-stability problems and indicate that some obvious lines of attack on the matrix polytope stability problem will fail
Keywords :
matrix algebra; polynomials; matrices; matrix algebra; polynomials; polytope; stability; Algebra; Automatic control; Circuits; Control systems; Feedback; Linear systems; Polynomials; Robust control; Robust stability; Transfer functions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/9.1254
Filename :
1254
Link To Document :
بازگشت