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

IF 1.3 4区 数学 Q1 MATHEMATICS
Mohamed Fadili
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引用次数: 1

摘要

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.
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Controllability of a backward stochastic cascade system of coupled parabolic heat equations by one control force

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.

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来源期刊
Evolution Equations and Control Theory
Evolution Equations and Control Theory MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
3.10
自引率
6.70%
发文量
5
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
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