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Geometric Optimal Control: Theory, Methods and Examples

Heinz Schättler and Urszula Ledzewicz
Publisher: 
Springer
Publication Date: 
2012
Number of Pages: 
640
Format: 
Hardcover
Series: 
Interdisciplinary Applied Mathematics 38
Price: 
89.95
ISBN: 
9781461438335
Category: 
Monograph
We do not plan to review this book.

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.

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