A class of augmented linear hyperbolic systems subject to a boundary control is studied. It is shown that the eigenvalues of the closed loop system subject to a feedback control, can be assigned arbitrarily, apart from an asymptotic condition on the distribution of the eigenvalues. The feedback vector is constructed in an appropriate Hilbert space. The results are applied to an important example of the synthesis of a distortionless transmission line system by linear feedback.
|Number of pages||24|
|Journal||Journal of Mathematical Analysis and Applications|
|Publication status||Published - 1983|