Boletin de la Sociedad Matematica Mexicana, volume 31, issue 1, publication number 27

A new method for solving the exact control problem for the one-dimensional wave equation

G M Alam ¹

S.A. Avdonin ²

A. E. Choque-Rivero ³

K B Nurtazina ⁴

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Department Of Mathematics, Virginia Tech, Blacksburg, USA |

Department of Mathematics and Statistics, University of Alaska Fairbanks, Fairbanks, USA |

Institute of Physics and Mathematics, Michoacan University of Saint Nicholas of Hidalgo, Morelia, Mexico |

⁴

Faculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, Astana, Kazakhstan |

Publication type: Journal Article

Publication date: 2025-01-04

Springer Nature

Journal: Boletin de la Sociedad Matematica Mexicana

scimago Q2

SJR: 0.399

CiteScore: 1.6

Impact factor: 0.9

ISSN: 00378615, 1405213X, 22964495

DOI: 10.1007/s40590-024-00705-5

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Abstract

We demonstrate a new method to prove the exact boundary controllability for the wave equation on an interval. The method uses a dynamical argument to demonstrate the shape and the velocity controllability, thereby solving their associated moment problems. This permits solving the moment problem related to exact controllability. The method is illustrated by numerical examples.

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Publisher

Springer Nature

Journal

Boletin de la Sociedad Matematica Mexicana

scimago Q2

SJR

0.399

CiteScore

1.6

Impact factor

0.9

ISSN

00378615 (Print)

1405213X (Print)

22964495 (Electronic)