Solvability of non linear unbounded optimal control operator equation in hilbert space via one prater semi group approach

Dissertant

Hasan, Samir Qasim

Thesis advisor

Zabun, Radi Ali

University

University of Technology

Faculty

-

Department

Applied Sciences Department

University Country

Iraq

Degree

Ph.D.

Degree Date

2009

English Abstract

The main aim of this thesis is to study and develop some mathematical properties of some classes of non-linear dynamical control problems in infinite dimensional space with bounded perturbation and unbounded linear control operator using the concept of one-parameter family of strongly continuous semi groups generated by some unbounded linear generators.

The necessary background for this approach has also been presented and supported by some useful concluding remarks.

The mild principles, spectral conditions for stability and instability have also been discussed and developed for certain class of non-linear dynamical control system in the presence of input in some infinite dimensional space, by using the principle of composite perturbation strongly continuous semi group generated by some infinitesimal unbounded generator.

Finally, HTO -optimal control problem in infinite dimensional spaces are also presented.

Some optimal control problems and solvability, controllability, null controllability, perturbed Recite operator equation as well as some of its properties are discussed and developed via evolution perturbed strongly continuous semi group generated by the linear unbounded perturbed generators.

Main Subjects

Mathematics

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• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-305315