Geodesic
On an evolutionary dynamical system of the first order with boundary control
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 49, Tome 483 (2019), pp. 41-54 
M. I. Belishev; S. A. Simonov. On an evolutionary dynamical system of the first order with boundary control. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 49, Tome 483 (2019), pp. 41-54. http://geodesic.mathdoc.fr/item/ZNSL_2019_483_a2/
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     title = {On an evolutionary dynamical system of the first order with boundary control},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The work is carried out as part of a program to construct a new functional (so-called wave) model of symmetric operators. It is shown that an abstract evolutionary dynamic system of the first order (w.r.t. time) with boundary control, which is determined by a symmetric operator $L_0:{\mathscr H}\to{\mathscr H}$, is controllable if and only if $L_0$ has no maximal symmetric parts in ${\mathscr H}$.

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