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All of us know the answer to the question: What is the shape of the shortest plane curve connecting two given points?
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Key Phrases - Statistically Improbable Phrases (SIPs):
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regular interior point, extremal control, terminal transversality condition, initial transversality condition, augmented state equation, control constraint set, regular optimal trajectories, given initial one, weak local maximum, initial state region, deduce candidates, weak local minimum, cost integrand, isoperimetric constraints, optimal cost function, strong local minimum, adjoint equations, optimal feedback control, sufficiency theorem, following state equations, switching curve, limiting surface, piecewise smooth functions, switching sequence, admissible control
Key Phrases - Capitalized Phrases (CAPs):
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The Weierstrass Necessary Condition
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