Two direct algorithms are suggested for the computation of the linear state feedback for multi-input systems such that the resultant closed-loop system matrix has specified eigenvalues. The extra freedom can be used in different ways, for example to decrease some norm of the feedback matrix or to improve the condition of some of the eigenvalues of the closed-loop matrix. The algorithms appear to be more efficient than the techniques already in existence and have several desirable numerical properties. They use unitary transformations for numerical reliability, and are based on ideas from the QR algorithm for solving the eigenproblem. / The above algorithms have been developed jointly with Chris Paige.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.72008 |
| Date | January 1984 |
| Creators | Miminis, George S. |
| Publisher | McGill University |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Format | application/pdf |
| Coverage | Doctor of Philosophy (School of Computer Science.) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: 000219025, proquestno: AAINL20872, Theses scanned by UMI/ProQuest. |
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