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

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dc.contributor.authorOrsi, Robert
dc.contributor.authorHelmke, Uwe
dc.contributor.authorMoore, John
dc.date.accessioned2015-12-07T22:16:15Z
dc.date.issued2006
dc.date.updated2015-12-07T07:48:26Z
dc.description.abstractThis 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.
dc.identifier.issn0005-1098
dc.identifier.urihttp://hdl.handle.net/1885/17943
dc.publisherPergamon-Elsevier Ltd
dc.sourceAutomatica
dc.subjectKeywords: 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
dc.titleA Newton-like method for solving rank constrained linear matrix inequalities
dc.typeJournal article
local.bibliographicCitation.issue11
local.bibliographicCitation.lastpage1882
local.bibliographicCitation.startpage1875
local.contributor.affiliationOrsi, Robert, College of Engineering and Computer Science, ANU
local.contributor.affiliationHelmke, Uwe, University of Wurzburg
local.contributor.affiliationMoore, John, College of Engineering and Computer Science, ANU
local.contributor.authoremailrepository.admin@anu.edu.au
local.contributor.authoruidOrsi, Robert, u3508658
local.contributor.authoruidMoore, John, u8202879
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010203 - Calculus of Variations, Systems Theory and Control Theory
local.identifier.ariespublicationu3357961xPUB3
local.identifier.citationvolume42
local.identifier.doi10.1016/j.automatica.2006.05.026
local.identifier.scopusID2-s2.0-33748923977
local.identifier.uidSubmittedByu3357961
local.type.statusPublished Version

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