@incollection{BurtchenKockrowHoppe, author = {Burtchen, Angie and Kockrow, Roberto and Hoppe, Annette}, title = {Gezielte F{\"o}rderung von wissenschaftlichem Nachwuchs am LG Awip}, series = {Arbeit und Technik im Wandel}, booktitle = {Arbeit und Technik im Wandel}, editor = {Hoppe, Annette}, publisher = {Shaker}, address = {Aachen}, isbn = {978-3-8440-1410-5}, pages = {182 -- 185}, language = {de} } @misc{PickenhainBurtchenKoloetal., author = {Pickenhain, Sabine and Burtchen, Angie and Kolo, Katharina and Lykina, Valeriya}, title = {An indirect pseudospectral method for the solution of linear-quadratic optimal control problems with infinite horizon}, series = {Optimization}, volume = {65}, journal = {Optimization}, number = {3}, issn = {0233-1934}, doi = {10.1080/02331934.2015.1014481}, pages = {609 -- 633}, language = {en} } @techreport{BurtchenBaehr, author = {Burtchen, Angie and B{\"a}hr, Martin}, title = {Pseudospektralmethoden zur L{\"o}sung von Optimalsteuerungsproblemen mit unendlichem Zeithorizont : aus den Masterarbeiten von Martin B{\"a}hr und Angie Burtchen}, publisher = {Mathematisches Institut}, address = {Cottbus}, pages = {68, VI Blatt}, language = {de} } @inproceedings{BurtchenPickenhainMaurer, author = {Burtchen, Angie and Pickenhain, Sabine and Maurer, Helmut}, title = {Numerical Treatment of the Optimal Energy Control Problem of Hybrid Vehicles}, series = {IEEE 55th Conference on Decision and Control (CDC], December 12-14, 2016, Las Vegas}, booktitle = {IEEE 55th Conference on Decision and Control (CDC], December 12-14, 2016, Las Vegas}, isbn = {978-1-5090-1837-6}, doi = {10.1109/CDC.2016.7799409}, pages = {7377 -- 7383}, language = {en} } @incollection{PickenhainBurtchen, author = {Pickenhain, Sabine and Burtchen, Angie}, title = {Optimal Energy Control of Hybrid Vehicles}, series = {Modeling, Simulation and Optimization of Complex Processes HPSC 2015}, booktitle = {Modeling, Simulation and Optimization of Complex Processes HPSC 2015}, publisher = {Springer}, address = {Cham}, isbn = {978-3-319-67167-3}, doi = {10.1007/978-3-319-67168-0_15}, pages = {179 -- 188}, abstract = {In recent years route planning has been greatly facilitated by car navigation systems. The desire for resource-efficient traveling has increased, a fact that is reflected by a higher demand for hybrid vehicles. The combination of electric motor and combustion engine adapted to the specific driving situation clearly reduces fuel consumption in comparison to vehicles with a conventional combustion engine. Up to this point, despite the fact that energy consumption and travel time are significantly affected by the drivers individual driving style, the driver has mainly been excluded. The aim of this project is to develop a dynamic model to calculate the optimal power train control—including the route planning. Taking into account the maximum travel time of the entire travel route in combination with energy-minimized driving, this approach allows us to obtain a new powerful concept. We present the model and its formulation as an optimal control problem, as well as some numerical results.}, language = {en} } @misc{PickenhainBurtchen, author = {Pickenhain, Sabine and Burtchen, Angie}, title = {Regulator Problems on Unbounded Domains : Stationarity-Optimal Control-Asymptotic Controllability}, series = {Vietnam Journal of Mathematics}, volume = {46}, journal = {Vietnam Journal of Mathematics}, number = {4}, issn = {2305-2228}, doi = {10.1007/s10013-018-0304-0}, pages = {837 -- 861}, abstract = {In this paper, we consider a class of infinite horizon variational and control problems arising from economics, quantum mechanics, and stabilization. Herein, we assume that the objective is of regulator type. The problem setting implies a weighted Sobolev space as the state space. For this class of problems, we establish necessary optimality conditions in a form of a Pontryagin type maximum principle. A duality concept of convex analysis is provided and used to find sufficient optimality conditions and to motivate a dual approximation scheme. We apply the theoretical results to find an asymptotically stabilizing control for a linearized Lotka-Volterra type system.}, language = {en} } @techreport{ZiemannBurtchen, author = {Ziemann, Torsten and Burtchen, Angie}, title = {Analytische Hilfsmittel der Steuerungstheorie}, publisher = {Brandenburgische Technische Universit{\"a}t Cottbus-Senftenberg, Mathematisches Institut}, address = {Cottbus ; Senftenberg}, pages = {39}, language = {de} } @misc{PickenhainBurtchen, author = {Pickenhain, Sabine and Burtchen, Angie}, title = {Problems in the Calculus of Variations on Unbounded Intervals—Fourier-Laguerre Analysis and Approximations}, series = {Vietnam Journal of Mathematics}, volume = {47}, journal = {Vietnam Journal of Mathematics}, number = {3}, issn = {2305-221X}, doi = {10.1007/s10013-019-00349-3}, pages = {617 -- 638}, abstract = {In this paper, we consider a class of variational problems on an unbounded interval of the real axis. This type of problems arises, e.g., in quantum mechanics and asymptotic controllability. The problem is treated in a Hilbert space setting with uniformly and non-uniformly weighted Sobolev spaces as state spaces. We provide sufficient conditions that a function from a weighted Sobolev space can be expanded into a Fourier-Laguerre series converging together with its distributional derivative pointwisely and uniformly. With this result, the considered variational problem is transformed into a problem in the sequence space of Fourier-Laguerre coefficients. We develop a Fourier-Laguerre method in these spaces in order to construct a polynomial approximation scheme for the solution of this problem.}, language = {en} }