Universal Near-Optimal Feedbacks

S. Nobakhtian and R. J. Stern
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S. Nobakhtian: McGill University
R. J. Stern: Concordia University

Journal of Optimization Theory and Applications, 2000, vol. 107, issue 1, No 6, 89-122

Abstract: Abstract For a general fixed-duration optimal control problem, the proximal aiming technique of nonsmooth analysis is employed in order to construct a discontinuous feedback law, whose Euler solutions are all optimal to within a prescribed tolerance, universally for all initial data in a prescribed bounded set. The technique is adapted in order to construct universal near-saddle points for two-player fixed-duration differential games of the Krasovskii–Subbotin type.

Keywords: optimal control; differential games; Euler polygonal arcs; nonsmooth analysis; proximal aiming; infinitesimal decrease; discontinuous universal near-optimal feedback (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (1)

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DOI: 10.1023/A:1004608800846

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