Displaying similar documents to “Semi-global C 1 solution and exact boundary controllability for reducible quasilinear hyperbolic systems”

Exact boundary observability for quasilinear hyperbolic systems

Tatsien Li (2008)

ESAIM: Control, Optimisation and Calculus of Variations

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By means of a direct and constructive method based on the theory of semi-global  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.

Boundary controllability in problems of transmission for a class of second order hyperbolic systems

J. E. Lagnese (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider transmission problems for general second order linear hyperbolic systems having piecewise constant coefficients in a bounded, open connected set with smooth boundary and controlled through the Dirichlet boundary condition. It is proved that such a system is exactly controllable in an appropriate function space provided the interfaces where the coefficients have a jump discontinuity are all star-shaped with respect to one and the same point and the coefficients satisfy...