Optimal boundary control of string vibrations with a model nonlocal boundary condition of one of two types
type: Item
instance of: scholarly article
title: Optimal boundary control of string vibrations with a model nonlocal boundary condition of one of two types
zbMATH Open document ID: 1234.35268
DOI: 10.1134/S1064562411020098
author: A. A. Kholomeeva
published in: Doklady Mathematics
publication date: 2012-01-17T00:00:00Z
review text: Boundary control problems are first studied in terms of classical solutions of the wave equation. The transition to generalized solutions is done by passage to the limit in the corresponding integral identity. On a relatively long time interval, from the infinite set of boundary controls, one that minimizes a boundary energy integral is chosen.
reviewed by: Ludwig Kohaupt
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 74K05
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 35A09
zbMATH DE Number: 5998357
zbMATH Keywords: optimal boundary control
zbMATH Keywords: string vibration
zbMATH Keywords: nonlocal boundary condition
zbMATH Keywords: classical solution of wave equation
zbMATH Keywords: weak solution on wave equation
MaRDI profile type: Publication
cites work: Boundary displacement control at one end of a string in the presence of a nonlocal boundary condition of one of four types, and its optimization
cites work: An analytic form of an optimal boundary control by displacement at one end of a string under a model nonlocal boundary condition of one of four types
cites work: Optimal boundary displacement control of string vibrations with a nonlocal oddness condition of the first kind
cites work: Optimal boundary control by an elastic force at one end and a displacement at the other end for an arbitrary sufficiently large time interval in the string vibration problem
full work available at URL: s1064562411020098
OpenAlex ID: W2001029905
description: scientific article; zbMATH DE number 5998357