English

On the output stabilizability of the diffusion equation

Optimization and Control 2014-08-07 v1

Abstract

This note is devoted to study the output stabilizability of a simplified and a one-dimensional diffusion equation. Necessary and sufficient conditions for the system to be output stabilizable will be given. These conditions are given in terms of the eigenvalues of the infinitesimal generator and the Fourier coefficients of input and output operators.

Keywords

Cite

@article{arxiv.1408.1152,
  title  = {On the output stabilizability of the diffusion equation},
  author = {Faouzi Haddouchi},
  journal= {arXiv preprint arXiv:1408.1152},
  year   = {2014}
}

Comments

8 pages

R2 v1 2026-06-22T05:21:22.779Z