Uniform stabilization and exact controllability for hyperbolic systems with discontinuous coefficients

This paper considers a hyperbolic system with discontinuous coefficients in a bounded, open, connected set with smooth boundary and controlled through the Robin boundary condition. Uniform stabilization of the solutions are established. Exact boundary controllability is obtained through the Russell&...

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Bibliographic Details
Published inElectronic journal of differential equations Vol. 2007; no. 139; pp. 1 - 11
Main Authors Boris V. Kapitonov, Felix P. Quispe Gomez
Format Journal Article
LanguageEnglish
Published Texas State University 19.10.2007
Subjects
exact control
hyperbolic systems
Uniform stabilization
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Summary:This paper considers a hyperbolic system with discontinuous coefficients in a bounded, open, connected set with smooth boundary and controlled through the Robin boundary condition. Uniform stabilization of the solutions are established. Exact boundary controllability is obtained through the Russell's "Controllability via Stabilizability" principle.
ISSN:1072-6691