Exact boundary controllability of coupled hyperbolic equations

Sergei Avdonin; Abdon Choque Rivero; Luz De Teresa

doi:10.2478/amcs-2013-0052

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Exact boundary controllability of coupled hyperbolic equations

International Journal of Applied Mathematics and Computer Science

Volume 23 (2013): Issue 4 (December 2013)

By: Sergei Avdonin, Abdon Choque Rivero and Luz De Teresa

Open Access

|Dec 2013

Abstract

We study the exact boundary controllability of two coupled one dimensional wave equations with a control acting only in one equation. The problem is transformed into a moment problem. This framework has been used in control theory of distributed parameter systems since the classical works of A.G. Butkovsky, H.O. Fattorini and D.L. Russell in the late 1960s to the early 1970s. We use recent results on the Riesz basis property of exponential divided differences.

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Articles in this issue

DOI: https://doi.org/10.2478/amcs-2013-0052 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 701 - 709

Published on: Dec 31, 2013

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

coupled wave equations,

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© 2013 Sergei Avdonin, Abdon Choque Rivero, Luz De Teresa, published by University of Zielona Góra
This work is licensed under the Creative Commons License.

Volume 23 (2013): Issue 4 (December 2013)