| Abstract: |
| In this talk, we address the problem of null controllability for one-dimensional first-order linear hyperbolic systems of the form:
$$
\begin{cases}
\frac{\partial y}{\partial t}(t,x)+\Lambda(x) \frac{\partial y}{\partial x}(t,x)=M(x) y(t,x), \
y_-(t,1)=u(t), \quad y_+(t,0)=Qy_-(t,0), \
y(0,x)=y^0(x),
\end{cases}
\quad (t,x) \in (0,T) \times (0,1),
$$
where $u:(0,T) \to \mathbb{R}^m$ is the control.
We present a method to find the minimal control time when the coefficients are regular enough.
This presentation is based on a joint work with Long Hu
(https://doi.org/10.1016/j.jde.2025.113455) |
|