Direct Methods in Control Problems

• Κύριος συγγραφέας: Falb, Peter (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Birkhäuser, 2019.
• Έκδοση: 1st ed. 2019.
• Θέματα: System theory.; Control engineering.; Robotics.; Mechatronics.; Calculus of variations.; Approximation theory.; Probabilities.; Computer mathematics.; Systems Theory, Control.; Control, Robotics, Mechatronics.; Calculus of Variations and Optimal Control; Optimization.; Approximations and Expansions.; Probability Theory and Stochastic Processes.; Computational Mathematics and Numerical Analysis.

The primary focus of this book is on explicating the direct method approach. Historically, direct methods have not been fully exploited in control problems. The key is constructing convergent minimizing families. Integration methods (for example the gradient method) and representation methods (such...

Πίνακας περιεχομένων:

• Part I. Introduction
• Introductory Remarks
• Historical Perspective
• Outline of Contents
• Part II. Problem Statement
• Deterministic Systems
• Stochastic Systems
• General Problem
• Part III. The Direct Method Approach: Generalities
• General Approach
• Gradient and Integration Methods
• Representation Methods
• Part IV. Gradient and Integration Methods in Control Problems
• Computation of Gradients for ODE Problems
• Computation of Gradients for PDE Problems
• Integration Methods
• Part V. Representation Methods
• Ritz-Galerkin Expansion
• Karhunen-Loeve Expansion
• Lévy Processes
• Bibliography
• Index .