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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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 |
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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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1716638790933544960 |