The Darboux point |
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Authors: | P M Mereau W F Powers |
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Institution: | 1. ADERSA/GERBIOS, Vélizy, France 2. The University of Michigan, Ann Arbor, Michigan
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Abstract: | A theory of global optimality based upon the Darboux-point concept is developed. A definition is proposed for the Darboux point, and the Darboux point is shown to exist on nonglobally optimal trajectories under relatively general conditions. A mutually exclusive classification of Darboux points is noted, and several properties are proved for one of these classes (the Type-1 Darboux point). Numerous examples are included to illustrate the Darboux-point definition and properties. |
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