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Exact boundary observability for quasilinear hyperbolicsystems

Published online by Cambridge University Press:  30 January 2008

Tatsien Li Daqian Li
Tatsien Li Daqian Li*
Affiliation:
School of Mathematical Sciences, Fudan University, Shanghai 200433, China; dqli@fudan.edu.cn
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Abstract

By means of a direct and constructive method based on the theory of semi-global C 1 solution, the local exact boundary observability is established for one-dimensional first order quasilinear hyperbolic systems with general nonlinear boundary conditions. An implicit duality between the exact boundary controllability and the exact boundary observability is then shown in the quasilinear case.

Keywords

Exact boundary observabilityexact boundarycontrollabilitysemi-global C 1 solutionmixedinitial-boundary value problemquasilinear hyperbolic system.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 14 , Issue 4 , October 2008 , pp. 759 - 766
Copyright
© EDP Sciences, SMAI, 2008

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