Robust stability under additive perturbations

Author

Bhaya, A. ; Desoer, C.A.

Author_Institution

University of California, Berkeley, CA, USA

Volume

Issue

fYear

1985

fDate

12/1/1985 12:00:00 AM

Firstpage

1233

Lastpage

1234

Abstract

We consider a MIMO linear time-invariant feedback system¹ $S(P, C)$ which is assumed to be $u$ -stable. The plant $P$ is subjected to an additive perturbation $\\Delta P$ which is proper but not necessarily stable. We prove that the perturbed system is $u$ -stable if and only if $\\Delta P[I + Q.\\Delta P]^{-1}$ is $u$ -stable. (Here $Q: = C(I + PC)^{-1}.)$

Keywords

Perturbation methods; Robustness, linear systems; Artificial intelligence; Helium; MIMO; Robust stability; State feedback; Sufficient conditions; Writing;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.1985.1103868

Filename

1103868

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=848210