Geometric Optimal Control Theory, Methods and Examples /

• Κύριοι συγγραφείς: Schättler, Heinz (Συγγραφέας), Ledzewicz, Urszula (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2012.
• Σειρά: Interdisciplinary Applied Mathematics, 38
• Θέματα: Mathematics.; Differential equations.; Differential geometry.; Calculus of variations.; Applied mathematics.; Engineering mathematics.; Control engineering.; Calculus of Variations and Optimal Control; Optimization.; Control.; Differential Geometry.; Ordinary Differential Equations.; Appl.Mathematics/Computational Methods of Engineering.

This book gives a comprehensive treatment of the fundamental necessary and sufficient conditions for optimality for finite-dimensional, deterministic, optimal control problems. The emphasis is on the geometric aspects of the theory and on illustrating how these methods can be used to solve optimal c...

Πίνακας περιεχομένων:

• The Calculus of Variations: A Historical Perspective
• The Pontryagin Maximum Principle: From Necessary Conditions to the Construction of an Optimal Solution
• Reachable Sets of Linear Time-Invariant Systems: From Convex Sets to the Bang-Bang Theorem
• The High-Order Maximum Principle: From Approximations of Reachable Sets to High-Order Necessary Conditions for Optimality
• The Method of Characteristics: A Geometric Approach to Sufficient Conditions for a Local Minimum
• Synthesis of Optimal Controlled Trajectories: FromLocal to Global Solutions
• Control-Affine Systems in Low Dimensions: From Small-Time Reachable Sets to Time-Optimal Syntheses
• References
• Index.