Reaction-advection-diffusion equations, such as [8, 16, 17, 22].

被引：0

作者：

Steeves D. ^{[1
]}

Gharesifard B. ^{[2
]}

Mansouri A.-R. ^{[1
]}

机构：

[1] Department of Mechanical and Aerospace Engineering, University of California, EBU1 2101, San Diego, 92093, CA

[2] Department of Mathematics and Statistics, Queen's University, Jeffery Hall, University Avenue, Kingston, K7L 3N6, ON

来源：

SIAM Journal on Control and Optimization | 2019年 / 57卷 / 05期

关键词：

Algebraic solvability; Controllability; Fictitious control method; Parabolic systems;

D O I：

10.1137/17M1154886

中图分类号：

学科分类号：

摘要：

This paper is the first of two parts which together study the null controllability of a system of coupled parabolic PDEs. This work specializes to an important subclass of these control problems which are coupled by first and zero-order couplings and are, additionally, underactuated. In this paper, we pose our control problem in a fairly new framework which divides the problem into interconnected components: we refer to the first component as the analytic control problem; we refer to the second component as the algebraic control problem, where we use an algebraic method to ``algebraically invert a linear partial differential operator that describes our system. This allows us to recover null controllability by means of internal controls which appear on only a few of the equations. Treatment of the analytic control problem is deferred to the second part of this work [D. Steeves, B. Gharesifard, and A.-R. Mansouri, SIAM J. Control Optim., 57 (2019), pp. 3297-3321]. The conclusion of this two-part work is a null controllability result for the original problem. mathrm{c} 2019 Society for Industrial and Applied Mathematics

引用

页码：3272 / 3296

页数：24

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