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arXiv · 2006.15444

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

M. I. Belishev·S. A. Simonov
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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 $L_0:{\mathscr H}\to{\mathscr H}$, is controllable if and only if $L_0$ has no maximal symmetric parts in~${\mathscr H}$.

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M. I. Belishev, S. A. Simonov. 2020-06-27. On an evolutionary dynamical system of the first order with boundary control. https://arxiv.org/abs/2006.15444

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