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Displaying similar documents to “Exact boundary controllability for quasilinear wave equations in a planar tree-like network of strings”

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.

Exact boundary synchronization for a coupled system of 1-D wave equations

Tatsien Li, Bopeng Rao, Long Hu (2014)

ESAIM: Control, Optimisation and Calculus of Variations

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Several kinds of exact synchronizations and the generalized exact synchronization are introduced for a coupled system of 1-D wave equations with various boundary conditions and we show that these synchronizations can be realized by means of some boundary controls.

Geometrical aspects of exact boundary controllability for the wave equation - a numerical study

M. Asch, G. Lebeau (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

This essentially numerical study, sets out to investigate various geometrical properties of exact boundary controllability of the wave equation when the control is applied on a part of the boundary. Relationships between the geometry of the domain, the geometry of the controlled boundary, the time needed to control and the energy of the control are dealt with. A new norm of the control and an energetic cost factor are introduced. These quantities enable a detailed appraisal of the numerical...