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Authors:
Martens, Björn 
Document type:
Dissertation / Thesis 
Title:
Necessary Conditions, Sufficient Conditions, and Convergence Analysis for Optimal Control Problems with Differential-Algebraic Equations 
Advisor:
Gerdts, Matthias, Prof. Dr. 
Referee:
Gerdts, Matthias Prof. Dr.; Pickenhain, Sabine Prof. Dr. 
Date oral examination:
12.07.2019 
Publication date:
11.11.2019 
Year:
2019 
Pages (Book):
173 
Language:
Englisch 
Subject:
Optimale Kontrolle ; Differential-algebraisches Gleichungssystem ; Optimierungsproblem ; Riccati-Differentialgleichung ; Karush-Kuhn-Tucker-Bedingungen ; Hochschulschrift 
Keywords:
optimal control, necessary conditions, sufficient conditions, convergence analysis, differential-algebraic equations, Hessenberg DAE, generalized equations, Hamilton Jacobi inequality, Euler discretization, uniform strong regularity 
Abstract:
In this thesis, we study optimal control problems subject to differential-algebraic equations in Hessenberg form and mixed control-state constraints. Specifically, we derive necessary and sufficient conditions for problems with Hessenberg differential-algebraic equations of arbitrary order, and then examine convergence properties of an approximated optimal control problem for the index two case. The first part of this thesis is dedicated to proving vital lemmas and theorems for later chapters...    »
 
DDC notation:
515.642 
Department:
Fakultät für Luft- und Raumfahrttechnik 
Institute:
LRT 1 - Institut für Angewandte Mathematik und Wissenschaftliches Rechnen 
Chair:
Gerdts, Matthias 
Open Access yes or no?:
Ja / Yes