Exact and approximate controllability of coupled one-dimensional hyperbolic equations

Abdelaziz Bennour; Farid Ammar Khodja; Djamel Teniou

doi:10.3934/eect.2017025

Article Contents

2017, Volume 6, Issue 4: 487-516. Doi: 10.3934/eect.2017025

This issue Previous Article Next Article Approximate controllability of semilinear non-autonomous evolution systems with state-dependent delay

Exact and approximate controllability of coupled one-dimensional hyperbolic equations

1.
Laboratoire AMNEDP, Faculty of Mathematics, USTHB, Algiers, Algeria
2.
Laboratoire de Mathématiques, Université de Bourgogne Franche-Comté, 16 route de Gray 25030 Besancon cedex, France

* Corresponding author: Farid Ammar Khodja
* Corresponding author: Farid Ammar Khodja

Received: November 30, 2016

Revised: June 30, 2017

Published: November 2017

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Abstract

We deal with the simultaneous controllability properties of two one dimensional (strongly) coupled wave equations when the control acts on the boundary. Necessary and sufficient conditions for approximate and exact controllability are proved.

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Mathematics Subject Classification: 93B05, 93B07, 35L10.

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