Near optimal universal feedback law in control and differential games

For a general fixed duration endpoint cost optimal control problem, the proximal aiming technique of nonsmooth analysis is employed in order to construct a discontinuous feedback law, all of whose Euler solutions are optimal to within a prescribed tolerance, universally for all initial data in a pre...

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Main Author: Nobakhtian, Soghra.
Other Authors: Clarke, F. H. (advisor)
Format: Others
Language:en
Published: McGill University 1999
Subjects:
Online Access:http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=36044
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spelling ndltd-LACETR-oai-collectionscanada.gc.ca-QMM.360442014-02-13T03:46:18ZNear optimal universal feedback law in control and differential gamesNobakhtian, Soghra.Mathematics.For a general fixed duration endpoint cost optimal control problem, the proximal aiming technique of nonsmooth analysis is employed in order to construct a discontinuous feedback law, all of whose Euler solutions are 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 Krasovskii-Subbotin type.McGill UniversityClarke, F. H. (advisor)Stern, R. (advisor)1999Electronic Thesis or Dissertationapplication/pdfenalephsysno: 001737906proquestno: NQ55365Theses scanned by UMI/ProQuest.All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated.Doctor of Philosophy (Department of Mathematics and Statistics.) http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=36044
collection NDLTD
language en
format Others
sources NDLTD
topic Mathematics.
spellingShingle Mathematics.
Nobakhtian, Soghra.
Near optimal universal feedback law in control and differential games
description For a general fixed duration endpoint cost optimal control problem, the proximal aiming technique of nonsmooth analysis is employed in order to construct a discontinuous feedback law, all of whose Euler solutions are 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 Krasovskii-Subbotin type.
author2 Clarke, F. H. (advisor)
author_facet Clarke, F. H. (advisor)
Nobakhtian, Soghra.
author Nobakhtian, Soghra.
author_sort Nobakhtian, Soghra.
title Near optimal universal feedback law in control and differential games
title_short Near optimal universal feedback law in control and differential games
title_full Near optimal universal feedback law in control and differential games
title_fullStr Near optimal universal feedback law in control and differential games
title_full_unstemmed Near optimal universal feedback law in control and differential games
title_sort near optimal universal feedback law in control and differential games
publisher McGill University
publishDate 1999
url http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=36044
work_keys_str_mv AT nobakhtiansoghra nearoptimaluniversalfeedbacklawincontrolanddifferentialgames
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