Optimal Time for the Controllability of Linear Hyperbolic Systems in One-Dimensional Space
Optimal Time for the Controllability of Linear Hyperbolic Systems in One-Dimensional Space
We are concerned about the controllability of a general linear hyperbolic system of the form $\partial_t w (t, x) = \Sigma(x) \partial_x w (t, x) + \gamma C(x) w(t, x) $ ($\gamma \in \mathbb{R}$) in one space dimension using boundary controls on one side. More precisely, we establish the optimal …