<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

Exact boundary controllability of coupled hyperbolic equations

Department of Mathematics and Statistics University of Alaska Fairbanks, Fairbanks, AK 99775-6660, USA

Institute of Physics and Mathematics Universidad Michoacana de San Nicol´as de Hidalgo Ciudad Universitaria, Ed. C-3, C.P. 58040 Morelia, Mich., México

Institute of Mathematics Universidad Nacional Autonoma de México, Circuito Exterior, C.U. 04510 D.F., México

International Journal of Applied Mathematics and Computer Science

{"article-title":"Exact boundary controllability of coupled hyperbolic equations"}

We study the exact boundary controllability of two coupled one dimensional wave equations with a control acting only in one equation. The problem is...

Exact boundary controllability of coupled hyperbolic equations

Published Online: Dec 31, 2013

Page range: 701 - 709

DOI: https://doi.org/10.2478/amcs-2013-0052

This content is open access.