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X-WR-CALNAME:Institute of Mathematics and Informatics
X-ORIGINAL-URL:https://math.bas.bg
X-WR-CALDESC:Събития за Institute of Mathematics and Informatics
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TZID:Europe/Sofia
BEGIN:DAYLIGHT
TZOFFSETFROM:+0200
TZOFFSETTO:+0300
TZNAME:EEST
DTSTART:20190331T010000
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TZOFFSETFROM:+0300
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TZNAME:EET
DTSTART:20191027T010000
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BEGIN:VEVENT
DTSTART;TZID=Europe/Sofia:20190605T161500
DTEND;TZID=Europe/Sofia:20190605T180000
DTSTAMP:20260418T193524
CREATED:20190531T201540Z
LAST-MODIFIED:20190531T201540Z
UID:7028-1559751300-1559757600@math.bas.bg
SUMMARY:Национален колоквиум по математика
DESCRIPTION:СЪЮЗ НА МАТЕМАТИЦИТЕ В БЪЛГАРИЯ\nИНСТИТУТ ПО МАТЕМАТИКА И ИНФОРМАТИКА – БАН \n\nНАЦИОНАЛЕН КОЛОКВИУМ ПО МАТЕМАТИКА \nПоредната сбирка на Колоквиума ще се състои на 5 юни 2019 г. (сряда) от 16:15 часа в Заседателната зала на ИМИ-БАН\, София\, ул. „Акад. Г. Бончев”\, блок 8. \nДоклад на тема: \nOptimization theory: a view from variational analysis\n(with emphasis on the optimal control theory)\nще изнесе Professor Emeritus Alexander Ioffe\, Technion – Israel Institute of Technology\, Haifa\, Israel.. \nПоканват се всички интересуващи се. \nРъководител на Колоквиума: акад. П. Попиванов \nРезюме.Next year there will be the 60s anniversary of publication of the book of Pontryagin et al “Mathematical theory of optimal processes”. The book triggered a series of extensive studies aimed at finding general approaches to analysis of necessary conditions in constrained optimization. (Just mention the method of variations of Dubovitskii and Milyutin and controllability based approach developed in a series of publications by Gamkrelidze\, Warga nd Clarke.) In the talk we shall discuss a totally new approach\, possible in the framework of variational analysis. This approach is based on some ideas associated with the concept of metric regularity. Its key element is a reduction of the original constrained problem to unconstrained minimization of (necessarily nonsmooth) functionals. We shall briefly sketch a proof of Pontryagin’s maximum principle based on this approach as well as a proof of a new second order necessary condition for a strong minimum in optimal control.
URL:https://math.bas.bg/event/%d0%bd%d0%b0%d1%86%d0%b8%d0%be%d0%bd%d0%b0%d0%bb%d0%b5%d0%bd-%d0%ba%d0%be%d0%bb%d0%be%d0%ba%d0%b2%d0%b8%d1%83%d0%bc-%d0%bf%d0%be-%d0%bc%d0%b0%d1%82%d0%b5%d0%bc%d0%b0%d1%82%d0%b8%d0%ba%d0%b0-9/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
CATEGORIES:Редовен семинар
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