| Abstract: |
| One-dimensional hyperbolic balance laws arise in many physical models, such as traffic flow, shallow water waves, gas pipelines, and oil drilling. In this talk, we will focus on the stabilization of these systems by means of boundary feedback control. We will show how to design nonlocal feedback controllers to rapidly stabilize such systems (linear or quasilinear, autonomous or non-autonomous, with local or nonlocal source terms...). In particular, for the linear system, we will use two-step scheme to stabilize the system in optimal finite-time using either one-sided or two-sided control inputs. |
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