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Approximate controllability of coupled 1-d wave equations onstar-shaped graphs
Año:2016
Áreas de investigación
  • Física química y matemáticas
Datos
Descripción
In this Note, we study the approximate controllability of a cascade system of two 1-d wave equations defined on a star-shaped planar graph. Only the first equation is controlled, with controls applied at the simple vertices. The controls act on the second equation through the coupling at the multiple vertex. We give a necessary and sufficient condition for the approximate controllability of the system: all the ratios of the lengths of any two different edges of the graph should be irrational numbers. The result implies that, under these conditions, the approximate desensitizing controllability of a star-shaped network of strings holds, when the desensitized functional is the L2-norm of the displacement of the multiple node.
Internacional
Si
JCR del ISI
Si
Título de la revista
Comptes Rendus Mathematique-Eselvier
ISSN
1631-073X
Factor de impacto JCR
Información de impacto
Volumen
354
DOI
Número de revista
8
Desde la página
778
Hasta la página
782
Mes
AGOSTO
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  • Creador: Departamento: Matemática Aplicada