Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

A Newton-like method for solving rank constrained linear matrix inequalities

Date

Authors

Orsi, Robert

Helmke, Uwe

Moore, John

Publisher

Pergamon-Elsevier Ltd

Abstract

This paper presents a Newton-like algorithm for solving systems of rank constrained linear matrix inequalities. Though local quadratic convergence of the algorithm is not a priori guaranteed or observed in all cases, numerical experiments, including application to an output feedback stabilization problem, show the effectiveness of the algorithm.

Keywords

Keywords: Computational methods; Constraint theory; Matrix algebra; Numerical analysis; Polynomials; Problem solving; Robustness (control systems); Linear matrix inequalities; Output feedback; Polynomial constraints; Rank constraints; Linear equations Computational methods; Linear matrix inequalities; Output feedback; Polynomial constraints; Rank constraints; Robust control; Stabilization

URI

http://hdl.handle.net/1885/17943

Collections

ANU Research Publications

Source

Automatica

Type

Journal article

DOI

10.1016/j.automatica.2006.05.026

Restricted until

2037-12-31

Downloads

File

Description

01_Orsi_A_Newton-like_method_for_2006.pdf (239.98 KB)

abcd