This thesis proposes a new method to compute the lower and upper bounds of solution to the generalized Lyapunov matrix equation. Convergence of the iteratively computed bounds is illustrated by several numerical examples. Moreover, regularization of the condition required in computing the upper bound is also investigated. Finally, the method is employed to derive a less conservative bound on the magnitude of perturbation without destroying the stability of the perturbed system. All the theoretical results are verified by the numerical examples.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0913106-190918 |
| Date | 13 September 2006 |
| Creators | Huang, Shie-Lung |
| Contributors | Lee Li, Shiang-Hwua YU, Ben-Shung Chow |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | Cholon |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0913106-190918 |
| Rights | campus_withheld, Copyright information available at source archive |
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