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Exact boundary controllability of coupled hyperbolic equations

Sergei AvdoninAbdon Choque RiveroLuz de Teresa — 2013

International Journal of Applied Mathematics and Computer Science

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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