DocumentCode
1102318
Title
Necessary and sufficient conditions for the Hurwitz and Schur stability of interval matrices
Author
Wang, Kaining ; Michel, Anthony N. ; Liu, Derong
Author_Institution
Dept. of Electr. Eng., Notre Dame Univ., IN, USA
Volume
39
Issue
6
fYear
1994
fDate
6/1/1994 12:00:00 AM
Firstpage
1251
Lastpage
1255
Abstract
Establishes a set of new sufficient conditions for the Hurwitz and Schur stability of interval matrices. The authors use these results to establish necessary and sufficient conditions for the Hurwitz and Schur stability of interval matrices. The authors relate the above results to the existence of quadratic Lyapunov functions for linear time-invariant systems with interval-valued coefficient matrices. Using the above results, the authors develop an algorithm to determine the Hurwitz and the Schur stability properties of interval matrices. The authors demonstrate the applicability of their results by means of two specific examples
Keywords
Lyapunov methods; linear systems; matrix algebra; Hurwitz stability; Schur stability; interval matrices; linear time-invariant systems; necessary and sufficient conditions; quadratic Lyapunov functions; Eigenvalues and eigenfunctions; Lyapunov method; Stability criteria; Sufficient conditions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.293189
Filename
293189
Link To Document