A Newton-Like Method for Solving Rank Constrained Linear Matrix Inequalities
| dc.contributor.author | Orsi, Robert | |
| dc.contributor.author | Helmke, Uwe | |
| dc.contributor.author | Moore, John | |
| dc.coverage.spatial | Atlantis Bahamas | |
| dc.date.accessioned | 2015-12-13T22:45:08Z | |
| dc.date.available | 2015-12-13T22:45:08Z | |
| dc.date.created | December 14 2004 | |
| dc.date.issued | 2004 | |
| dc.date.updated | 2015-12-11T10:19:51Z | |
| dc.description.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. | |
| dc.identifier.isbn | 0780386833 | |
| dc.identifier.uri | http://hdl.handle.net/1885/79612 | |
| dc.publisher | Institute of Electrical and Electronics Engineers (IEEE Inc) | |
| dc.relation.ispartofseries | IEEE Conference on Decision and Control 2004 | |
| dc.source | IEEE Conference on Decision and Control Proceedings 2004 | |
| dc.source.uri | http://control.bu.edu/ieee/cdc04/ | |
| dc.subject | Keywords: Algorithms; Constraint theory; Convergence of numerical methods; Feedback; Linear equations; Optimization; Problem solving; Interior point algorithm; Linear matrix inequality (LMI) problem; Quadratic convergence; Semidefinite matrices; Matrix algebra | |
| dc.title | A Newton-Like Method for Solving Rank Constrained Linear Matrix Inequalities | |
| dc.type | Conference paper | |
| local.bibliographicCitation.lastpage | 3144 | |
| local.bibliographicCitation.startpage | 3138 | |
| local.contributor.affiliation | Orsi, Robert, College of Engineering and Computer Science, ANU | |
| local.contributor.affiliation | Helmke, Uwe, University of Wurzburg | |
| local.contributor.affiliation | Moore, John, College of Engineering and Computer Science, ANU | |
| local.contributor.authoruid | Orsi, Robert, u3508658 | |
| local.contributor.authoruid | Moore, John, u8202879 | |
| local.description.notes | Imported from ARIES | |
| local.description.refereed | Yes | |
| local.identifier.absfor | 010203 - Calculus of Variations, Systems Theory and Control Theory | |
| local.identifier.absfor | 010303 - Optimisation | |
| local.identifier.ariespublication | MigratedxPub8015 | |
| local.identifier.scopusID | 2-s2.0-14244252254 | |
| local.type.status | Published Version |