Stochastic Invariance for Differential Inclusions

被引:0
|
作者
Jean-Pierre Aubin
Giuseppe Da Prato
Hélène Frankowska
机构
[1] Université de Paris-Dauphine,Centre de Recherche, Viabilité, Jeux, Contrôle
来源
Set-Valued Analysis | 2000年 / 8卷
关键词
stochastic invariance; viability; stochastic differential inclusions;
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中图分类号
学科分类号
摘要
The aim of this paper is to combine two ways for representing uncertainty through stochastic differential inclusions: a 'stochastic uncertainty", driven by a Wiener process, and a 'contingent uncertainty", driven by a set-valued map. The paper is also devoted to the invariance of closed under stochastic differential inclusions with a Lipschitz right-hand side, characterized in terms of stochastic tangent sets to closed subsets.
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页码:181 / 201
页数:20
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