Items related to Geometric Optimal Control: Theory, Methods and Examples
Synopsis
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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