DocumentCode
1289465
Title
Explicit formulas for stability radii of nonnegative and Metzlerian matrices
Author
Shafai, B. ; Chen, J. ; Kothandaraman, M.
Author_Institution
Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA
Volume
42
Issue
2
fYear
1997
fDate
2/1/1997 12:00:00 AM
Firstpage
265
Lastpage
270
Abstract
We address stability issues pertaining to uncertain nonnegative and Metzlerian matrices. The problem under consideration is the computation of the stability radius when matrix perturbations are both unstructured and structured. We show that the stability radius can be obtained in the former case by computing the largest singular value of a constant matrix and in the latter case by computing the spectral radius of a constant matrix
Keywords
continuous time systems; discrete time systems; matrix algebra; perturbation techniques; stability; stability criteria; Metzlerian matrix; constant matrix; continuous time systems; discrete time systems; matrix perturbations; nonnegative matrix; singular value; stability radius; Robust stability; Stability analysis; Transfer functions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.554408
Filename
554408
Link To Document