Partial Approximate Controllability of Semilinear Control Systems

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dc.contributor.advisorBashirov, Agamirza
dc.contributor.authorGhahramanlou, Noushin Houshyar
dc.date.accessioned2019-05-03T11:29:13Z
dc.date.available2019-05-03T11:29:13Z
dc.date.issued2015-09
dc.date.submitted2015
dc.departmentEastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematicsen_US
dc.descriptionDoctor of Philosophy in Applied Mathematics and Computer Science. Thesis (Ph.D.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2015. Supervisor: Prof. Dr. Agamirza Bashirov.en_US
dc.description.abstractMost of the controllability concepts are for first ordered differential equations, while not all the control systems are of this kind; but by increasing the dimension of the state space, one can rewrite the control system in the form of first ordered differential equations. Therefore, it seems useful to define partial controllability concepts which maintain the original state space. In this thesis, a sufficient condition for partial approximate controllability of semilinear deterministic control systems is proved with a technique which is completely different from the methods using fixed point theorems. More specifically, the partial S-controllability has been weakened for partially observable semilinear stochastic systems and a sufficient condition is provided. The results obtained are demonstrated within examples. Keywords: Controllability, approximate controllability, exact controllability, partial controllability, semilinear systems, stochastic systems.en_US
dc.description.abstractÖZ: Kontrol edilebilirlik kavramlarının ço˘gu, birinci dereceden diferansiyel denklemlerı içeren kontrol sistemleri için formüle edilmi¸stir. Do˘gadaki bütün diferansiyel denklem sistemleri bu tür de˘gildir, ama alanın boyutunu geni¸sleterek bu formda yazılmı¸s olabilir. Bu nedenle, orijinal alanı korumak kısmi kontrol edilebilirlik kavramları tanımlamak yararlı görünüyor. Bu tezde, yarı-lineer deterministik kontrol sistemlerinin kısmi yakla¸sık kontrol edilebilirlik için yeterli bir ko¸sul, sabit nokta teoremleri yöntemlerinden tamamen farklı bir teknik ile kanıtlanmı¸stır. Dahası, kısmen gözlemlenebilir yarı-lineer stokastik sistemleri için zayıflatılmı¸s kısmi S-kontrol edilebilirlik incelenmi¸s ve bu kontrol edilebilirlik kavramı için yeterli bir ko¸sul sa˘glanmı¸stır. Elde edilen sonuçlar, örneklerle gösterilmi¸stir. Anahtar Kelimeler: Kontrol edilebilirlik, yakla¸sık kontrol edilebilirlik, tam kontrol edilebilirlik, kısmi kontrol edilebilirlik, yarı-lineer sistemler, stokastik sistemler.en_US
dc.identifier.citationGhahramanlou, Noushin Houshyar. (2015). Partial Approximate Controllability of Semilinear Control Systems. Thesis (Ph.D.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Mathematics, Famagusta: North Cyprus.en_US
dc.identifier.urihttps://hdl.handle.net/11129/4127
dc.language.isoen
dc.publisherEastern Mediterranean University EMUen_US
dc.relation.publicationcategoryTez
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMathematicsen_US
dc.subjectApplied Mathematics and Computer Scienceen_US
dc.subjectControllabilityen_US
dc.subjectapproximate controllabilityen_US
dc.subjectexact controllabilityen_US
dc.subjectpartial controllabilityen_US
dc.subjectsemilinear systemsen_US
dc.subjectstochastic systemsen_US
dc.titlePartial Approximate Controllability of Semilinear Control Systemsen_US
dc.typeDoctoral Thesis

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