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- W2034793951 abstract "For arbitrary single-input real analytic systems in the plane, in which the control enters linearly, we prove that the time-optimal trajectories are finite concatenations of “bang-bang” and singular arcs, with local bounds on the number of switchings. No “nondegeneracy” assumption is made other than real-analyticity. The analysis proceeds by applying our previous results on nondegenerate $C^infty $ systems to study the behavior of the trajectories on a neighborhood of every point, except for the points in a discrete set of “branch points.” The branch points are then handled by a combination of control-theoretic arguments and the use of subanalytic set theory." @default.
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- W2034793951 date "1987-07-01" @default.
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- W2034793951 title "The Structure of Time-Optimal Trajectories for Single-Input Systems in the Plane: The General Real Analytic Case" @default.
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- W2034793951 doi "https://doi.org/10.1137/0325048" @default.
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