Feedback stabilization of bilinear control systems

dc.contributor.advisor	Wolfgang Kliemann
dc.contributor.author	Wang, Hualin
dc.contributor.department	Mathematics
dc.date	2018-08-23T15:58:43.000
dc.date.accessioned	2020-06-30T07:16:03Z
dc.date.available	2020-06-30T07:16:03Z
dc.date.copyright	Thu Jan 01 00:00:00 UTC 1998
dc.date.issued	1998
dc.description.abstract	<p>In this dissertation we study the region in which a bilinear control system is feedback stabilizable. In particular, we prove the equivalence of exponential stability and asymptotic stability using measurable feedback laws. Also we find a necessary and sufficient condition for feedback stabilization in terms of the Lyapunov spectrum. The maximal stabilizable region is discussed and some open questions are presented.</p>
dc.format.mimetype	application/pdf
dc.identifier	archive/lib.dr.iastate.edu/rtd/11820/
dc.identifier.articleid	12819
dc.identifier.contextkey	6510307
dc.identifier.doi	https://doi.org/10.31274/rtd-180813-10745
dc.identifier.s3bucket	isulib-bepress-aws-west
dc.identifier.submissionpath	rtd/11820
dc.identifier.uri	https://dr.lib.iastate.edu/handle/20.500.12876/65120
dc.language.iso	en
dc.source.bitstream	archive/lib.dr.iastate.edu/rtd/11820/r_9826581.pdf\|\|\|Fri Jan 14 18:59:16 UTC 2022
dc.subject.disciplines	Mathematics
dc.subject.keywords	Mathematics
dc.subject.keywords	Applied mathematics
dc.title	Feedback stabilization of bilinear control systems
dc.type	article
dc.type.genre	dissertation
dspace.entity.type	Publication
relation.isOrgUnitOfPublication	82295b2b-0f85-4929-9659-075c93e82c48
thesis.degree.level	dissertation
thesis.degree.name	Doctor of Philosophy

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