Search Results - "Avdonin, Sergei"

Exact Controllability of the 1-D Wave Equation on Finite Metric Tree Graphs by Avdonin, Sergei, Zhao, Yuanyuan

“…In this paper, we consider initial boundary value problems and control problems for the wave equation on finite metric graphs with Dirichlet boundary controls…”
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Exact Controllability of the Wave Equation on Graphs by Avdonin, Sergei, Zhao, Yuanyuan

“…In this paper we study the exact controllability problem for the wave equation on a finite metric graph with the Kirchhoff–Neumann matching conditions. Among…”
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Reconstruction techniques for quantum trees by Avdonin, Sergei A., Khmelnytskaya, Kira V., Kravchenko, Vladislav V.

“…The inverse problem of recovery of a potential on a quantum tree graph from the Weyl matrix given at a number of points is considered. A method for its…”
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An Inverse Problem for Quantum Trees with Delta-Prime Vertex Conditions by Avdonin, Sergei, Edward, Julian

“…In this paper, we consider a non-standard dynamical inverse problem for the wave equation on a metric tree graph. We assume that the so-called delta-prime…”
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Synthesis of a quantum tree Weyl matrix by Avdonin, Sergei A., Khmelnytskaya, Kira V., Kravchenko, Vladislav V.

“…A method for successive synthesis of a Weyl matrix (or Dirichlet-to-Neumann map) of an arbitrary quantum tree is proposed. It allows one, starting from one…”
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Shape, Velocity, and Exact Controllability for the Wave Equation by Avdonin, Sergei, Edward, Julian, Nurtazina, Karlygash

“…A new method to prove exact controllability for the wave equation is demonstrated and discussed on several examples. The method of proof first uses a…”
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Determining distributed parameters in a neuronal cable model on a tree graph by Avdonin, Sergei, Bell, Jonathan, Nurtazina, Karlygash

“…For graph domains without cycles, we show how unknown coefficients and source terms for a parabolic equation can be recovered from the dynamical…”
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Reconstructing the potential for the one-dimensional Schrodinger equation from boundary measurements by Avdonin, S. A., Mikhaylov, V. S., Ramdani, K.

“…We consider the inverse problem of determining the potential in the dynamical Schrodinger equation on the interval by the measurement on the boundary. We use…”
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On controllability of a rotating string by Avdonin, Sergei A., Belinskiy, Boris P.

“…We consider the problem of controllability of a rotating string. We say that a set of initial data of the string is controllable if, for any initial data of…”
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On Controllability of an Elastic Ring by Avdonin, Sergei A., Belinskiy, Boris P., Ivanov, Sergei A.

“…We study the exact controllability problem for a ring under stretching tension that varies in time. We are looking for a couple of forces, which drive the…”
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Control and inverse problems for the heat equation with strong singularities by Avdonin, Sergei, Avdonina, Nina, Edward, Julian, Nurtazina, Karlygash

“…We consider a linear system composed of N+1 one dimensional heat equations connected by point-mass-like interface conditions. Assume an L2 Dirichlet boundary…”
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Determining a distributed parameter in a neural cable model via a boundary control method by Avdonin, Sergei, Bell, Jonathan

“…Dendrites of nerve cells have membranes with spatially distributed densities of ionic channels and hence non-uniform conductances. These conductances are…”
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Source and coefficient identification problems for the wave equation on graphs by Avdonin, Sergei, Bell, Jonathan, Mikhaylov, Victor, Nurtazina, Karlygash

“…Avdonin and Kurasov proposed a leaf peeling method based on the boundary control to recover a potential for the wave equation on a tree. Avdonin and Nicaise…”
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On controllability of a non-homogeneous elastic string with memory by Avdonin, Sergei A., Belinskiy, Boris P.

“…We are motivated by the problem of control for a non-homogeneous elastic string with memory. We reduce the problem of controllability to a non-standard moment…”
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Boundary Control approach to the spectral estimation problem: the case of multiple poles by Avdonin, Sergei, Bulanova, Anna

“…There exist many methods for solving the spectral estimation problem. This paper proposes a new approach to this problem based on the Boundary Control method…”
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The boundary control approach to the titchmarsh-weyl m-function. I. The response operator and the a-amplitude by AVDONIN, Sergei, MIKHAYLOV, Victor, RYBKIN, Alexei

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On the inverse problem of the two-velocity tree-like graph by Avdonin, Sergei, Rivero Abdon, Choque, Leugering, Günter, Mikhaylov, Victor

“…In this article the authors continue the discussion in about inverse problems for second order elliptic and hyperbolic equations on metric trees from boundary…”
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Reconstructing the potential for the 1D Schrödinger equation from boundary measurements by Avdonin, Sergei, Mikhaylov, Victor, Ramdani, Karim

“…We consider the inverse problem of determining the potential in the dynamical Schrödinger equation on the interval by the measurement on the boundary. We use…”
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Null-controllability for the beam equation with structural damping. Part 1. Distributed control by Avdonin, Sergei, Edward, Julian, Ivanov, Sergei

“…Let $\Delta$ be the Dirichlet Laplacian on the interval $(0,\pi)$. The null controllability properties of the equation $$u_{tt}+\Delta^2 u+\rho (\Delta)^\alpha…”
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On an inverse problem for tree-like networks of elastic strings by Avdonin, S., Leugering, G., Mikhaylov, V.

“…We consider the in‐plane motion of elastic strings on tree‐like network, observed from the ‘leaves’. We investigate the inverse problem of recovering not only…”
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