TY - GEN A1 - Altmann, Kristof A1 - Stingelin, Simon A1 - Tröltzsch, Fredi T1 - On Some Optimal Control Problems for Electric Circuits N2 - Some optimal control problems for linear and nonlinear ordinary differential equations related to the optimal switching between different magnetic fields are considered. The main aim is to move an electrical initial current by a controllable voltage in shortest time to a desired terminal current and to hold it afterwards. Necessary optimality conditions are derived by Pontryagin's principle and a Lagrange technique. In the case of a linear system, the principal structure of time-optimal controls is discussed. The associated optimality systems are solved by a one-shot strategy using a multigrid software package. Various numerical examples are discussed. KW - time-optimal control KW - electrical circuits KW - ordinary differential equation KW - one-shot strategy Y1 - 2012 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/959 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-9592 ER -