TY - CHAP A1 - Burtchen, Angie A1 - Kockrow, Roberto A1 - Hoppe, Annette ED - Hoppe, Annette T1 - Gezielte Förderung von wissenschaftlichem Nachwuchs am LG Awip T2 - Arbeit und Technik im Wandel Y1 - 2012 SN - 978-3-8440-1410-5 SP - 182 EP - 185 PB - Shaker CY - Aachen ER - TY - GEN A1 - Pickenhain, Sabine A1 - Burtchen, Angie A1 - Kolo, Katharina A1 - Lykina, Valeriya T1 - An indirect pseudospectral method for the solution of linear-quadratic optimal control problems with infinite horizon T2 - Optimization KW - optimal control KW - linear-quadratic problem KW - weighted Lebesgue spaces Y1 - 2015 U6 - https://doi.org/10.1080/02331934.2015.1014481 SN - 0233-1934 SN - 1029-4945 VL - 65 IS - 3 SP - 609 EP - 633 ER - TY - RPRT A1 - Burtchen, Angie A1 - Bähr, Martin T1 - Pseudospektralmethoden zur Lösung von Optimalsteuerungsproblemen mit unendlichem Zeithorizont : aus den Masterarbeiten von Martin Bähr und Angie Burtchen Y1 - 2014 PB - Mathematisches Institut CY - Cottbus ER - TY - CHAP A1 - Burtchen, Angie A1 - Pickenhain, Sabine A1 - Maurer, Helmut T1 - Numerical Treatment of the Optimal Energy Control Problem of Hybrid Vehicles T2 - IEEE 55th Conference on Decision and Control (CDC], December 12-14, 2016, Las Vegas Y1 - 2016 SN - 978-1-5090-1837-6 U6 - https://doi.org/10.1109/CDC.2016.7799409 SP - 7377 EP - 7383 ER - TY - CHAP A1 - Pickenhain, Sabine A1 - Burtchen, Angie T1 - Optimal Energy Control of Hybrid Vehicles T2 - Modeling, Simulation and Optimization of Complex Processes HPSC 2015 N2 - 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. Y1 - 2017 SN - 978-3-319-67167-3 SN - 978-3-319-67168-0 U6 - https://doi.org/10.1007/978-3-319-67168-0_15 SP - 179 EP - 188 PB - Springer CY - Cham ER - TY - GEN A1 - Pickenhain, Sabine A1 - Burtchen, Angie T1 - Regulator Problems on Unbounded Domains : Stationarity–Optimal Control–Asymptotic Controllability T2 - Vietnam Journal of Mathematics N2 - 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. KW - Weighted functional spaces KW - Optimal control KW - Asymptotic controllability KW - Infinite horizon Y1 - 2018 U6 - https://doi.org/10.1007/s10013-018-0304-0 SN - 2305-2228 VL - 46 IS - 4 SP - 837 EP - 861 ER - TY - RPRT A1 - Ziemann, Torsten A1 - Burtchen, Angie T1 - Analytische Hilfsmittel der Steuerungstheorie Y1 - 2018 PB - Brandenburgische Technische Universität Cottbus-Senftenberg, Mathematisches Institut CY - Cottbus ; Senftenberg ER - TY - GEN A1 - Pickenhain, Sabine A1 - Burtchen, Angie T1 - Problems in the Calculus of Variations on Unbounded Intervals—Fourier–Laguerre Analysis and Approximations T2 - Vietnam Journal of Mathematics N2 - 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. Y1 - 2019 U6 - https://doi.org/10.1007/s10013-019-00349-3 SN - 2305-221X SN - 2305-2228 VL - 47 IS - 3 SP - 617 EP - 638 ER -