Exact boundary controllability of coupled hyperbolic equations

Avdonin, S. ; Choque Rivero, A. ; de Teresa, L.

International Journal of Applied Mathematics and Computer Science, Tome 23 (2013) no. 4, pp. 701-710.

Résumé

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.

Détail

Keywords: coupled wave equations, controllability, Riesz bases, moment problem
Mots-clés : równanie falowe, sterowalność, bazy Riesza

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