Controllability of a backward stochastic cascade system of coupled parabolic heat equations by one control force

IF 1.3 4区数学 Q1 MATHEMATICS

Evolution Equations and Control Theory Pub Date : 2022-01-01 DOI:10.3934/eect.2022037

Mohamed Fadili

引用次数: 1

Abstract

This paper is devoted to the null controllability of a cascade system of \begin{document}$ m $\end{document} coupled backward stochastic heat equations governed by a unique distributed control force, where \begin{document}$ m\geq 2 $\end{document}. This task is obtained by means of proving a suitable observability estimate for the dual system of the controlled system.

查看原文本刊更多论文

一个控制力对耦合抛物热方程的倒向随机级联系统的可控性

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Evolution Equations and Control Theory MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.10

自引率

6.70%

发文量

期刊介绍： EECT is primarily devoted to papers on analysis and control of infinite dimensional systems with emphasis on applications to PDE''s and FDEs. Topics include: * Modeling of physical systems as infinite-dimensional processes * Direct problems such as existence, regularity and well-posedness * Stability, long-time behavior and associated dynamical attractors * Indirect problems such as exact controllability, reachability theory and inverse problems * Optimization - including shape optimization - optimal control, game theory and calculus of variations * Well-posedness, stability and control of coupled systems with an interface. Free boundary problems and problems with moving interface(s) * Applications of the theory to physics, chemistry, engineering, economics, medicine and biology