Numerical Methods for Optimal Control Problems

• Corporate Author: SpringerLink (Online service)
• Other Authors: Falcone, Maurizio (Editor, http://id.loc.gov/vocabulary/relators/edt), Ferretti, Roberto (Editor, http://id.loc.gov/vocabulary/relators/edt), Grüne, Lars (Editor, http://id.loc.gov/vocabulary/relators/edt), McEneaney, William M. (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Springer INdAM Series, 29
• Subjects: System theory.; Numerical analysis.; Computer mathematics.; Engineering mathematics.; Game theory.; Systems Theory, Control.; Numerical Analysis.; Computational Science and Engineering.; Engineering Mathematics.; Game Theory.

The volume presents recent mathematical methods in the area of optimal control with a particular emphasis on the computational aspects and applications. Optimal control theory concerns the determination of control strategies for complex dynamical systems in order to optimize measures of their perfor...

Table of Contents:

• 1 M. Assellaou and A. Picarelli, A Hamilton-Jacobi-Bellman approach for the numerical computation of probabilistic state constrained reachable sets
• 2. A. Britzelmeier, A. De Marchi, and M. Gerdts, An iterative solution approach for a bi-level optimization problem for congestion avoidance on road networks
• 3 S. Cacace, R. Ferretti, and Z. Rafiei, Computation of Optimal Trajectories for Delay Systems: an Optimize-Then-Discretize Strategy for General-Purpose NLP Solvers
• 4 L. Mechelli and S. Volkwein, POD-Based Economic Optimal Control of Heat-Convection Phenomena
• 5 A. Alla and V. Simoncini, Order reduction approaches for the algebraic Riccati equation and the LQR problem
• 6 F. Durastante and S. Cipolla, Fractional PDE constrained optimization: box and sparse constrained problems
• 7 M. C. Delfour, Control, Shape, and Topological Derivatives via Minimax Differentiability of Lagrangians
• 8 A. J. Krener, Minimum Energy Estimation Applied to the Lorenz Attractor
• 9 M. Akian and E. Fodjo, Probabilistic max-plus schemes for solving Hamilton-Jacobi-Bellman equations
• 10 P. M. Dower, An adaptive max-plus eigenvector method for continuous time optimal control problems
• 11 W. Mc Eneaney and R. Zhao, Diffusion Process Representations for a Scalar-Field Schr¨odinger Equation Solution in Rotating Coordinates.