Exact boundary controllability of coupled hyperbolic equations

• Autorzy: Avdonin S. , Choque Rivero A. , de Teresa L.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

coupled wave equations; controllability; Riesz bases; moment problem

PL

równanie falowe; sterowalność; bazy Riesza

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2013
• Tom: Vol. 23, no. 4
• Strony: 701--710
• Opis fizyczny: Bibliogr. 26 poz.

Twórcy

autor

Avdonin S.

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

autor

Choque Rivero A.

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

autor

de Teresa L.

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

Bibliografia

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