Exact boundary observability for quasilinear hyperbolic systems

Exact boundary observability for quasilinear hyperbolic systems

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 boundar...

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Veröffentlicht in:ESAIM. Control, optimisation and calculus of variations optimisation and calculus of variations, 2008-10, Vol.14 (4), p.759-766
1. Verfasser: Li, Tatsien
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Boundary value problems
Eigenvalues
Neighborhoods
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Zusammenfassung: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. [PUBLICATION ABSTRACT]
ISSN:1292-8119
1262-3377
DOI:10.1051/cocv:2008007