Numerical methods for optimal control problems

Front Matter ....Pages i-x
 A Hamilton-Jacobi-Bellman Approach for the Numerical Computation of Probabilistic State Constrained Reachable Sets  (Mohamed Assellaou, Athena Picarelli)....Pages 1-22
 An Iterative Solution Approach for a Bi-level Optimization Problem for Congestion Avoidance on Road Networks  (Andreas Britzelmeier, Alberto De Marchi, Matthias Gerdts)....Pages 23-38
 Computation of Optimal Trajectories for Delay Systems: An Optimize-Then-Discretize Strategy for General-Purpose NLP Solvers  (Simone Cacace, Roberto Ferretti, Zahra Rafiei)....Pages 39-62
 POD-Based Economic Optimal Control of Heat-Convection Phenomena  (Luca Mechelli, Stefan Volkwein)....Pages 63-87
 Order Reduction Approaches for the Algebraic Riccati Equation and the LQR Problem  (Alessandro Alla, Valeria Simoncini)....Pages 89-109
 Fractional PDE Constrained Optimization: Box and Sparse Constrained Problems  (Fabio Durastante, Stefano Cipolla)....Pages 111-135
 Control, Shape, and Topological Derivatives via Minimax Differentiability of Lagrangians  (Michel C. Delfour)....Pages 137-164
 Minimum Energy Estimation Applied to the Lorenz Attractor  (Arthur J. Krener)....Pages 165-182
 Probabilistic Max-Plus Schemes for Solving Hamilton-Jacobi-Bellman Equations  (Marianne Akian, Eric Fodjo)....Pages 183-209
 An Adaptive Max-Plus Eigenvector Method for Continuous Time Optimal Control Problems  (Peter M. Dower)....Pages 211-240
 Diffusion Process Representations for a Scalar-Field Schrödinger Equation Solution in Rotating Coordinates  (William M. McEneaney, Ruobing Zhao)....Pages 241-268