Rank stability radius for a matrix with structured scalar perturbations

Author

Xing, Wei ; Yan, Wei-Yong ; Liu, Wanquan

Author_Institution

Inst. of Syst. Sci., Northeastern Univ., Shenyang, China

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

6160

Lastpage

6165

Abstract

In this paper, the rank stability radius problem is proposed for a real matrix under structured scalar perturbations and some interesting results are achieved based on polynomial analysis. In addition, a computable formula and a two-step procedure are obtained which nicely solves the problem in this simple setup. Finally, these results on rank stability radius are used to estimate the stability robustness of descriptor systems, and for a special class of symmetric descriptor systems, the rank stability radius is proved to be equal to the system stability radius.

Keywords

perturbation techniques; polynomial matrices; stability; descriptor systems stability robustness; polynomial analysis; rank stability radius; real matrix; structured scalar perturbation; Controllability; Eigenvalues and eigenfunctions; H infinity control; Linear algebra; Observability; Polynomials; Robust control; Robust stability; Stability analysis; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5400932

Filename

5400932