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.

引用

页码：39 / 50

页数：12

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