English

On an evolutionary dynamical system of the first order with boundary control

Functional Analysis 2020-06-30 v1 Mathematical Physics math.MP

Abstract

The work is carried out as part of the program to construct a new functio\-nal (so-called {\it wave}) model of symmetric operators. It is shown that an abstract evolutionary dynamic system of the first order (with respect to time) with boundary control, which is determined by a symmetric operator L0:HHL_0:{\mathscr H}\to{\mathscr H}, is controllable if and only if L0L_0 has no maximal symmetric parts in~H{\mathscr H}.

Keywords

Cite

@article{arxiv.2006.15444,
  title  = {On an evolutionary dynamical system of the first order with boundary control},
  author = {M. I. Belishev and S. A. Simonov},
  journal= {arXiv preprint arXiv:2006.15444},
  year   = {2020}
}