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Geometric Optimal Control

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Cover of 'Geometric Optimal Control'

Table of Contents

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    Book Overview
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    Chapter 1 The Calculus of Variations: A Historical Perspective
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    Chapter 2 The Pontryagin Maximum Principle: From Necessary Conditions to the Construction of an Optimal Solution
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    Chapter 3 Reachable Sets of Linear Time-Invariant Systems: From Convex Sets to the Bang-Bang Theorem
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    Chapter 4 The High-Order Maximum Principle: From Approximations of Reachable Sets to High-Order Necessary Conditions for Optimality
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    Chapter 5 The Method of Characteristics: A Geometric Approach to Sufficient Conditions for a Local Minimum
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    Chapter 6 Synthesis of Optimal Controlled Trajectories: From Local to Global Solutions
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    Chapter 7 Control-Affine Systems in Low Dimensions: From Small-Time Reachable Sets to Time-Optimal Syntheses
Attention for Chapter 3: Reachable Sets of Linear Time-Invariant Systems: From Convex Sets to the Bang-Bang Theorem
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