Null Controllability with Constraints on the State for Stochastic Heat Equation

被引：4
|
作者：
Chen, Mo [1 ,2 ]
机构：
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
[2] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Jilin, Peoples R China
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2018年 / 24卷 / 01期
关键词：
Null controllability; Stochastic heat equation;
D O I：
10.1007/s10883-016-9357-0
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with a null controllability problem for stochastic heat equation with finite number of constraints on the state. First, we transform the problem into a null controllability problem with constraint on the control. Then, we prove an adapted Carleman estimate. Applying this estimate, we establish a bilinear form and obtain the main result.
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页码：39 / 50
页数：12
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