Geometric Optimal Control

Theory, Methods and Examples

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ISBN: 978-1-4614-3833-5 (Print) 978-1-4614-3834-2 (Online)

Table of contents (7 chapters)

  1. Front Matter

    Pages i-xix

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  2. No Access

    Book Chapter

    Pages 1-81

    The Calculus of Variations: A Historical Perspective

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    Book Chapter

    Pages 83-194

    The Pontryagin Maximum Principle: From Necessary Conditions to the Construction of an Optimal Solution

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    Book Chapter

    Pages 195-230

    Reachable Sets of Linear Time-Invariant Systems: From Convex Sets to the Bang-Bang Theorem

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    Book Chapter

    Pages 231-321

    The High-Order Maximum Principle: From Approximations of Reachable Sets to High-Order Necessary Conditions for Optimality

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    Book Chapter

    Pages 323-423

    The Method of Characteristics: A Geometric Approach to Sufficient Conditions for a Local Minimum

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    Book Chapter

    Pages 425-484

    Synthesis of Optimal Controlled Trajectories: From Local to Global Solutions

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    Book Chapter

    Pages 485-568

    Control-Affine Systems in Low Dimensions: From Small-Time Reachable Sets to Time-Optimal Syntheses

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  9. Back Matter

    Pages 569-640

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