Zobrazeno 1 - 10
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pro vyhledávání: '"Sklyar A. M."'
The well-known Batty's theorem states that if a $C_0$-semigroup $T(t)$ is bounded and the spectrum of the generator $A$ is contained in the open left-half plane of $\mathbb{C}$, then $\|T(t)A^{-1}\|$ tends to $0$. This can be thought of as a particul
Externí odkaz:
http://arxiv.org/abs/2112.01233
A complete analytic solution for the time-optimal control problem for nonlinear control systems of the form $\dot x_1=u$, $\dot x_j=x_1^{j-1}$, $j=2,\ldots,n$, is obtained for arbitrary $n$. The main goal of the paper is to present the following surp
Externí odkaz:
http://arxiv.org/abs/2007.02398
Autor:
Sklyar, Anatoly M., Kalinkevich, Oksana V., Holubnycha, Viktoriia N., Kalinkevich, Aleksei N., Chivanov, Vadim D., Trofimenko, Yana V., Sofronov, Dmitry, Starikov, Vadim, Danilchenko, Sergei N.
Publikováno v:
In Carbohydrate Polymer Technologies and Applications June 2023 5
Autor:
Sklyar, Grigory M., Marchenko, Vitalii
The paper presents an explicit form of the resolvent for the class of generators of $C_0$-groups with purely imaginary eigenvalues, clustering at $i\infty$, and complete minimal non-basis family of eigenvectors, constructed recently by the authors in
Externí odkaz:
http://arxiv.org/abs/1809.03079
Publikováno v:
In Journal of Functional Analysis 1 April 2021 280(7)
The paper is devoted to the problem of global exact controllability for a wide class of neutral and mixed time-delay systems. We consider an equivalent operator model in Hilbert space and formulate steering conditions of controllable states as a vect
Externí odkaz:
http://arxiv.org/abs/1511.03708
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Autor:
Sklyar, Grigory M., Marchenko, Vitalii
Some special Hilbert spaces are introduced to present the class of infinitesimal operators with complete minimal non-basis family of eigenvectors. The discrete Hardy inequality plays an important role in the proposed approach. The construction comple
Externí odkaz:
http://arxiv.org/abs/1405.2731
For a large class of linear neutral type systems the problem of eigenvalues and eigenvectors assignment is investigated, i.e. finding the system which has the given spectrum and almost all, in some sense, eigenvectors.
Externí odkaz:
http://arxiv.org/abs/1304.4561
Autor:
Sklyar, G. M., Polak, P.
We consider a differential system of neutral type with distributed delay. We obtain a precise norm estimation of solutions of the system in question on some nonclosed set. Our result is based on a spectral analysis of the operator and Riesz basis the
Externí odkaz:
http://arxiv.org/abs/1304.3951