Numerical Methods for Optimal Control Problems by Maurizio Falcone (English) Har

Description: Numerical Methods for Optimal Control Problems by Maurizio Falcone, Roberto Ferretti, William M. McEneaney, Lars GrÜne This work presents recent mathematical methods in the area of optimal control with a particular emphasis on the computational aspects and applications. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description This work 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 some measure of their performance. Started in the 60s under the pressure of the "space race" between the US and the former USSR, the field now has a far wider scope, and embraces a variety of areas ranging from process control to traffic flow optimization, renewable resources exploitation and management of financial markets. These emerging applications require more and more efficient numerical methods for their solution, a very difficult task due the huge number of variables. The chapters of this volume give an up-to-date presentation of several recent methods in this area including fast dynamic programming algorithms, model predictive control and max-plus techniques. This book is addressed to researchers, graduate students and applied scientists working in the area of control problems, differential games and their applications. Back Cover 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 performance. The field was created in the 1960s, in response to the pressures of the "space race" between the US and the former USSR, but it now has a far wider scope and embraces a variety of areas ranging from process control to traffic flow optimization, renewable resources exploitation and financial market management. These emerging applications require increasingly efficient numerical methods to be developed for their solution - a difficult task due the huge number of variables. Providing an up-to-date overview of several recent methods in this area, including fast dynamic programming algorithms, model predictive control and max-plus techniques, this book is intended for researchers, graduate students and applied scientists working in the area of control problems, differential games and their applications. Author Biography Maurizio Falcone is Professor of Numerical Analysis at the University of Rome "La Sapienza" since 2001. He held visiting positions at several institutions including ENSTA (Paris), the IMA (Minneapolis), Paris 6 and 7, the Russian Academy of Sciences (Moscow and Ekaterinburg) and UCLA. He serves as associate editor for the journal "Dynamic Games and Applications" and has authored a monograph and about 80 papers in international journals. His research interests include numerical analysis, control theory and differential games. Roberto Ferretti is Associate Professor of Numerical Analysis at Roma Tre University since 2001. He has been an invited professor in UCLA (USA), Universitet Goroda Pereslavlya (Russia), ENSTA-Paristech and IRMA (France), TU Munich (Germany) and UP Madrid (Spain). He has authored a monograph and more than 40 papers on international journals/volumes, in topics ranging from semi-Lagrangian schemes to optimal control, levelset methods, image processing and computational fluid Dynamics. Lars GrÜne is Professor for Applied Mathematics at the University of Bayreuth, Germany. He obtained his Ph.D. from the University of Augsburg in 1996 and his habilitation from Goethe University in Frankfurt/M in 2001. He held visiting positions at the Sapienza in Rome (Italy) and at the University of Newcastle (Australia) and is Editor-in-Chief of the journal Mathematics of Control, Signals and Systems. His research interests lie in the areas of mathematical systems theory and optimal control.William M. McEneaney received B.S. and M.S. degrees in Mathematics from Rensselaer Polytechnic Inst., followed by M.S. and Ph.D. degrees in Applied Mathematics from Brown Univ. He has held academic positions at Carnegie Mellon Univ. and North Carolina State Univ., prior to his current appointment at Univ. of California, San Diego. His non-academic positions have included Jet Propulsion Laboratory and AirForce Office of Scientific Research. His interests include Stochastic Control and Games, Max-Plus Algebraic Numerical Methods, and the Principle of Stationary Action. 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. Feature Presents recent mathematical methods for optimal control problems and their applications Provides rigorous mathematical results Offers several hints on numerical methods and on the construction of efficient algorithms Details ISBN3030019586 Year 2019 ISBN-10 3030019586 ISBN-13 9783030019587 Format Hardcover Pages 268 Publication Date 2019-02-05 Language English DOI 10.1007/978-3-030-01959-4 Series Number 29 Edition 1st Imprint Springer Nature Switzerland AG Place of Publication Cham Country of Publication Switzerland Illustrations 26 Illustrations, color; 18 Illustrations, black and white; X, 268 p. 44 illus., 26 illus. in color. Author Lars GrÜne Publisher Springer Nature Switzerland AG Edition Description 1st ed. 2018 Series Springer INdAM Series Edited by William M. McEneaney DEWEY 629.8312 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. 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