TY - JOUR A1 - Pickenhain, Sabine A1 - Wagner, M. T1 - Pontryagin principle for state-constrained control problems governed by a first-order PDE system Y1 - 2000 ER - TY - CHAP A1 - Pickenhain, Sabine A1 - Wagner, M. ED - Ioffe, Alexander T1 - Critical points in relaxed deposit problems T2 - Calculus of variations and optimal control, Technion 1998, proceedings of the International Conference on the Calculus of Variations and Related Topics, 25 - 31 March, 1998 Y1 - 2000 SN - 0-8493-0605-1 SP - 217 EP - 236 PB - Chapman & Hall/CRC CY - Boca Raton, Fla. [u.a.] ER - TY - JOUR A1 - Pickenhain, Sabine A1 - Kripfganz, A. T1 - In celebration of Prof. Dr. Rolf Klötzler 65th birthday Y1 - 1996 ER - TY - JOUR A1 - Pickenhain, Sabine T1 - A pointwise maximum principle in optimal control with multiple integrals Y1 - 1996 ER - TY - JOUR A1 - Maurer, Helmut A1 - Pickenhain, Sabine T1 - Second-order sufficient conditions for control problems with mixed control-state constraints Y1 - 1995 ER - TY - CHAP A1 - Pickenhain, Sabine A1 - Klötzler, Rolf ED - Bulirsch, Roland T1 - Pontryagin's maximum principle for multidimensional control problems T2 - Optimal control, Conference on Optimal Control, held at the Mathematisches Forschungsinstitut of the University of Freiburg Y1 - 1993 SN - 0-8176-2887-8 SP - 21 EP - 30 PB - Birkhäuser CY - Basel [u.a.] ER - TY - CHAP A1 - Pickenhain, Sabine ED - Deweß, Günter T1 - Wälzlagerrollen - Löcher - Orbiformen T2 - Heureka heute : Kostproben praxiswirksamer Mathematik Y1 - 1993 SN - 3-8154-2071-7 SN - 3-7281-2029-4 SP - 122 EP - 133 PB - Teubner CY - Stuttgart [u.a.] ER - TY - JOUR A1 - Pickenhain, Sabine A1 - Wagner, Marcus T1 - Piecewise Continuous Controls in Dieudonné-Rashevsky Type Problems Y1 - 2005 ER - TY - CHAP A1 - Pickenhain, Sabine A1 - Malanowski, Kazimierz A1 - Maurer, Helmut ED - Cagnol, John T1 - Second order sufficient conditions for optimal control subject to first order state constraints T2 - Control and boundary analysis Y1 - 2005 SN - 978-1-574-44594-7 SP - 293 EP - 304 PB - Chapman & Hall/CRC CY - Boca Raton, Fla ER - TY - CHAP A1 - Pickenhain, Sabine A1 - Lykina, Valeriya T1 - Sufficiency conditions for infinite horizon optimal control problems Y1 - 2006 ER - TY - JOUR A1 - Pickenhain, Sabine A1 - Wagner, Marcus T1 - Minimizing sequences in class-qualified deposit problems Y1 - 2006 ER - TY - GEN A1 - Pickenhain, Sabine A1 - Lykina, Valeriya A1 - Wagner, Markus T1 - On the lower semicontinuity of functionals involving Lebesgue or improper Riemann integrals in infinite horizon optimal control problems T2 - Control and Cybernetics Y1 - 2008 SN - 0324-8569 VL - 37 SP - 451 EP - 468 ER - TY - JOUR A1 - Lykina, Valeriya A1 - Pickenhain, Sabine A1 - Wagner, M. T1 - Different interpretations of the improper integral objective in an infinite horizon control problem Y1 - 2008 ER - TY - JOUR A1 - Lykina, Valeriya A1 - Pickenhain, Sabine A1 - Wagner, M. T1 - On a resource allocation model with inifinite horizon Y1 - 2008 ER - TY - CHAP A1 - Pickenhain, Sabine T1 - On adequate transversality conditions for infinite horizon optimal control problems Y1 - 2010 ER - TY - CHAP A1 - Pickenhain, Sabine T1 - On infinite horizon optimal control of a Lotka-Voltera-System T2 - Recent Advances in Optimization and its Applications in Engineering : The 14th Belgian-French-German Conference on Optimization Y1 - 2010 SN - 978-3-642-12598-0 SP - 277 EP - 286 PB - Springer CY - Berlin [u.a.] ER - TY - BOOK A1 - Pickenhain, Sabine T1 - On adequate transversality conditions for infinite horizon optimal control problems Y1 - 2009 PB - Cottbus : BTU, Math. Inst. ER - TY - CHAP A1 - Pickenhain, Sabine T1 - Hilbert space treatment of optimal control problems with infinite horizon T2 - Modeling, Simulation and Optimization of Complex Processes - HPSC 2012 Y1 - 2014 SN - 978-3-319-09062-7 U6 - https://doi.org/10.1007/978-3-319-09063-4 SP - 169 EP - 182 PB - Springer-Verlag CY - Heidelberg [u.a.] ER - TY - CHAP A1 - Wenzke, Diana A1 - Lykina, Valeriya A1 - Pickenhain, Sabine T1 - State and Time Transformations of Infinite Horizon Optimal Control Problems T2 - Variational and Optimal Control Problems on Unbounded Domains (AMS) Y1 - 2014 SN - 978-1-4704-1077-3 SN - 978-1-4704-1713-0 SP - 189 EP - 208 PB - American Mathematical Society (AMS) CY - Providence, RI ER - TY - GEN A1 - Pickenhain, Sabine T1 - Infinite Horizon Optimal Control Problems in the Light of Convex Analysis in Hilbert Spaces T2 - Set-Valued and Variational Analysis N2 - In this paper a class of linear-quadratic infinite horizon optimal control problems is considered. Problems of this type are not only of practical interest. They also appear as an approximation of nonlinear problems. The key idea is to introduce weighted Sobolev spaces as state space and weighted Lebesgue spaces as control spaces into the problem setting. We investigate the question of existence of an optimal solution in these spaces and establish a Pontryagin type Maximum Principle as a necessary optimality condition including transversality conditions. KW - Infinite horizon KW - Optimal control KW - Pontryagin’s Maximum Principle Y1 - 2015 U6 - https://doi.org/10.1007/s11228-014-0304-5 SN - 1877-0533 SN - 1877-0541 VL - 23 IS - 1 SP - 169 EP - 189 ER -