@article{PickenhainWagner, author = {Pickenhain, Sabine and Wagner, Marcus}, title = {Minimizing sequences in class-qualified deposit problems}, language = {en} } @misc{PickenhainLykinaWagner, author = {Pickenhain, Sabine and Lykina, Valeriya and Wagner, Markus}, title = {On the lower semicontinuity of functionals involving Lebesgue or improper Riemann integrals in infinite horizon optimal control problems}, series = {Control and Cybernetics}, volume = {37}, journal = {Control and Cybernetics}, issn = {0324-8569}, pages = {451 -- 468}, language = {en} } @article{LykinaPickenhainWagner, author = {Lykina, Valeriya and Pickenhain, Sabine and Wagner, M.}, title = {Different interpretations of the improper integral objective in an infinite horizon control problem}, language = {en} } @article{LykinaPickenhainWagner, author = {Lykina, Valeriya and Pickenhain, Sabine and Wagner, M.}, title = {On a resource allocation model with inifinite horizon}, language = {en} } @incollection{Pickenhain, author = {Pickenhain, Sabine}, title = {On adequate transversality conditions for infinite horizon optimal control problems}, language = {en} } @incollection{Pickenhain, author = {Pickenhain, Sabine}, title = {On infinite horizon optimal control of a Lotka-Voltera-System}, series = {Recent Advances in Optimization and its Applications in Engineering : The 14th Belgian-French-German Conference on Optimization}, booktitle = {Recent Advances in Optimization and its Applications in Engineering : The 14th Belgian-French-German Conference on Optimization}, publisher = {Springer}, address = {Berlin [u.a.]}, isbn = {978-3-642-12598-0}, pages = {277 -- 286}, language = {en} } @book{Pickenhain, author = {Pickenhain, Sabine}, title = {On adequate transversality conditions for infinite horizon optimal control problems}, publisher = {Cottbus : BTU, Math. Inst.}, language = {en} } @incollection{Pickenhain, author = {Pickenhain, Sabine}, title = {Hilbert space treatment of optimal control problems with infinite horizon}, series = {Modeling, Simulation and Optimization of Complex Processes - HPSC 2012}, booktitle = {Modeling, Simulation and Optimization of Complex Processes - HPSC 2012}, publisher = {Springer-Verlag}, address = {Heidelberg [u.a.]}, isbn = {978-3-319-09062-7}, doi = {10.1007/978-3-319-09063-4}, pages = {169 -- 182}, language = {en} } @incollection{WenzkeLykinaPickenhain, author = {Wenzke, Diana and Lykina, Valeriya and Pickenhain, Sabine}, title = {State and Time Transformations of Infinite Horizon Optimal Control Problems}, series = {Variational and Optimal Control Problems on Unbounded Domains (AMS)}, booktitle = {Variational and Optimal Control Problems on Unbounded Domains (AMS)}, publisher = {American Mathematical Society (AMS)}, address = {Providence, RI}, isbn = {978-1-4704-1077-3}, pages = {189 -- 208}, language = {en} } @misc{Pickenhain, author = {Pickenhain, Sabine}, title = {Infinite Horizon Optimal Control Problems in the Light of Convex Analysis in Hilbert Spaces}, series = {Set-Valued and Variational Analysis}, volume = {23}, journal = {Set-Valued and Variational Analysis}, number = {1}, issn = {1877-0533}, doi = {10.1007/s11228-014-0304-5}, pages = {169 -- 189}, abstract = {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.}, language = {en} }