Structured singular values and stability analysis of uncertain polynomials. I: The generalized \(\mu\)
type: Item
instance of: scholarly article
title: Structured singular values and stability analysis of uncertain polynomials. I: The generalized \(\mu\)
zbMATH Open document ID: 0826.93054
DOI: 10.1016/0167-6911(94)90081-7
author: Jie Chen
author: Carl N. Nett
author: Michael Ko-Hui Fan
published in: Systems \& Control Letters
publication date: 1995-11-27T00:00:00Z
review text: This paper contains an early development to a second companion paper by the authors [ibid., No. 2, 97-109 (1994; Zbl 0826.93054)]. A generalized structured singular value with respect to mixed real and complex uncertainties is introduced and an analytical expression for rank-one matrices is derived. The result, applicable to a wide class of norms, involves solving a convex optimization problem in one real variable, rendering the structured singular value readily solvable. The expression can be solved explicitly by performing a finite number of evaluations for specific norms (fairly general) and an optimization procedure is not necessary.
reviewed by: A.S.Hauksdottir
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 640411
zbMATH Keywords: robust stability
zbMATH Keywords: uncertain polynomial
zbMATH Keywords: structured singular value
zbMATH Keywords: convex optimization
MaRDI profile type: Publication
full work available at URL: 0167-6911(94)90081-7
OpenAlex ID: W2092132312
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description: scientific article; zbMATH DE number 640411