<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "Numerical Methods for Mixed-Integer Optimal Control with Combinatorial Constraints"^^ . "This thesis is concerned with numerical methods for Mixed-Integer Optimal Control Problems with Combinatorial Constraints. We establish an approximation theorem\r\nrelating a Mixed-Integer Optimal Control Problem with Combinatorial Constraints to a continuous relaxed convexified Optimal Control Problems with Vanishing Constraints that provides the basis for numerical computations. We develop a a Vanishing-\r\nConstraint respecting rounding algorithm to exploit this correspondence computationally.\r\n\r\nDirect Discretization of the Optimal Control Problem with Vanishing Constraints yield a subclass of Mathematical Programs with Equilibrium Constraints. Mathematical Programs with Equilibrium Constraint constitute a class of challenging problems due to their inherent non-convexity and non-smoothness. We develop an active-set\r\nalgorithm for Mathematical Programs with Equilibrium Constraints and prove global convergence to Bouligand stationary points of this algorithm under suitable technical conditions.\r\n\r\nFor efficient computation of Newton-type steps of Optimal Control Problems, we establish the Generalized Lanczos Method for trust region problems in a Hilbert space\r\ncontext. To ensure real-time feasibility in Online Optimal Control Applications with tracking-type Lagrangian objective, we develop a Gauß-Newton preconditioner for\r\nthe iterative solution method of the trust region problem.\r\n\r\nWe implement the proposed methods and demonstrate their applicability and efficacy on several benchmark problems."^^ . "2018" . . . . . . . "Felix Johannes Maximilian"^^ . "Lenders"^^ . "Felix Johannes Maximilian Lenders"^^ . . . . . . "Numerical Methods for Mixed-Integer Optimal Control with Combinatorial Constraints (PDF)"^^ . . . "Dissertation.pdf"^^ . . . "Numerical Methods for Mixed-Integer Optimal Control with Combinatorial Constraints (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "Numerical Methods for Mixed-Integer Optimal Control with Combinatorial Constraints (Other)"^^ . . . . . . "preview.jpg"^^ . . . "Numerical Methods for Mixed-Integer Optimal Control with Combinatorial Constraints (Other)"^^ . . . . . . "medium.jpg"^^ . . . "Numerical Methods for Mixed-Integer Optimal Control with Combinatorial Constraints (Other)"^^ . . . . . . "small.jpg"^^ . . . "Numerical Methods for Mixed-Integer Optimal Control with Combinatorial Constraints (Other)"^^ . . . . . . "indexcodes.txt"^^ . . "HTML Summary of #24070 \n\nNumerical Methods for Mixed-Integer Optimal Control with Combinatorial Constraints\n\n" . "text/html" . . . "500 Naturwissenschaften und Mathematik"@de . "500 Natural sciences and mathematics"@en . . . "510 Mathematik"@de . "510 Mathematics"@en . .