Contrôlabilité et observabilité unilatérales de systèmes hyperboliques quasi-linéaires

The known theory on the one-side exact boundary controllability and the one-side exact boundary observability for first-order quasilinear hyperbolic systems requires that the unknown variables should be suitably coupled in the boundary conditions at the non-control or non-observation side. In this Note we illustrate, with an inspiring example, that the one-side exact boundary controllability and the one-side exact boundary observability can still be realized by means of a suitable coupling among the unknown variables in the quasilinear hyperbolic system itself. To cite this article: T. Li et al., C. R. Acad. Sci. Paris, Ser. I 346 (2008).