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On Solution Bounds of General Algebraic Lyapunov Equations

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.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0913106-190918
Date13 September 2006
CreatorsHuang, Shie-Lung
ContributorsLee Li, Shiang-Hwua YU, Ben-Shung Chow
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageCholon
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0913106-190918
Rightscampus_withheld, Copyright information available at source archive

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