English

Impulse output rapid stabilization for heat equations

Analysis of PDEs 2016-12-01 v1

Abstract

The main aim of this paper is to provide a new feedback law for the heat equations in a bounded domain Ω\Omega with Dirichlet boundary condition. Two constraints will be compulsory: First, The controls are active in a subdomain of Ω\Omega and at discrete time points; Second, The observations are made in another subdomain and at different discrete time points. Our strategy consists in linking an observation estimate at one time, minimal norm impulse control, approximate inverse source problem and rapid output stabilization.

Keywords

Cite

@article{arxiv.1611.10075,
  title  = {Impulse output rapid stabilization for heat equations},
  author = {Kim Dang Phung and Gengsheng Wang and Yashan Xu},
  journal= {arXiv preprint arXiv:1611.10075},
  year   = {2016}
}
R2 v1 2026-06-22T17:09:09.022Z