On a class of restricted phase problems in the plane |
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Authors: | M.B Subrahmanyam |
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Affiliation: | Department of Mathematics, The University of Wisconsin, Madison, Wisconsin 53706 USA |
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Abstract: | Certain geometrical necessary and sufficient conditions are developed for the optimal control of a class of second order systems with restrictions on the phase coordinates. The phase constraint set in the plane is assumed to be convex, and under additional hypotheses, it is shown that an optimal trajectory is the one that encloses the least possible area with the optimal trajectory in the unrestricted case. |
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