MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL OF INFINITE DIMENSIONAL STOCHASTIC DIFFERENTIAL EQUATIONS

被引:0
|
作者
Al-Hussein, Abdulrahman [1 ]
机构
[1] Qassim Univ, Coll Sci, Dept Math, Buraydah 51452, Saudi Arabia
来源
DYNAMIC SYSTEMS AND APPLICATIONS | 2012年 / 21卷 / 2-3期
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中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we provide necessary and sufficient conditions for optimality of a stochastic differential equation driven by an infinite dimensional martingale, and its solution takes its values in a separable Hilbert space. By using the adjoint equation, which is a backward stochastic differential equation, we derive the maximum principle in the sense of Pontryagin for this optimal control problem.
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页码:205 / 217
页数:13
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