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Properties of Delay Systems and Diffusive Systems

dc.contributor.advisorProf. Jonathan Partington
dc.date.accessioned2026-05-07T07:37:52Z
dc.date.available2026-05-07T07:37:52Z
dc.descriptionwe mainly focus on diffusive systems defined by holomorphic distributions and measures on a half plane. In particular we look at the nuclearity (trace class) and Hilbert-Schmidt properties of such systems. Moreover, we begin further study of explicit examples of weighted Hankel operators for which we did not know whether they were bounded, those examples already introduced in Chapter
dc.description.abstractIn this thesis, we investigate questions about the properties of delay systems and diffusive systems as well as Hankel and weighted Hankel operators. After detailing the necessary background in Chapter 1, in Chapter 2 the focus is on the development of methods to study the stability of delay and fractional systems. This analysis is carried forward using some BIBO and H1 stability tests. Generalisation of the Walton-Marshall method [38] enable us to move from the single and multi-delay cases to fractional delay systems.
dc.identifier973
dc.identifier.urihttps://dspace.academy.edu.ly/handle/123456789/1966
dc.subjectDiffusive Systems
dc.titleProperties of Delay Systems and Diffusive Systems
dspace.entity.typeProject
project.endDate2015
project.funder.nameرياضيات
project.investigatorعلو بشر علي بشر
project.startDate2014
relation.isOrgUnitOfProjectabd0d318-9280-4b6c-a480-6db4a3a7c674
relation.isOrgUnitOfProject.latestForDiscoveryabd0d318-9280-4b6c-a480-6db4a3a7c674
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