EXPLICIT FORMULAS FOR STABILITY RADII OF NONNEGATIVE AND METZLERIAN MATRICES

Authors
SHAFAI B CHEN J KOTHANDARAMAN M
Citation
B. Shafai et al., EXPLICIT FORMULAS FOR STABILITY RADII OF NONNEGATIVE AND METZLERIAN MATRICES, IEEE transactions on automatic control, 42(2), 1997, pp. 265-270
Citations number
19
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on automatic control → ACNP
ISSN journal
00189286
Volume
42
Issue
2
Year of publication
1997
Pages
265 - 270
Database
ISI
SICI code
0018-9286(1997)42:2<265:EFFSRO>2.0.ZU;2-W
Abstract
We address stability issues pertaining to uncertain nonnegative and Me tzlerian matrices. The problem under consideration is the computation of the stability radius when matrix perturbations are both unstructure d 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 c onstant matrix.