Special Session 112: Controllability and Stabilization of Partial Differential Equations

Minimal control time for the internal exact controllability of 1D linear hyperbolic balance laws

Long Hu
Shandong University
Peoples Rep of China
Co-Author(s):    Guillaume Olive
Abstract:
In this talk, we are concerned with the internal exact controllability of 1D linear hyperbolic balance laws when the number of controls is equal to the number of state variables. The controls are supported in space in an arbitrary nonempty open subset. The necessary and sufficient conditions will be proposed in order to characterize the minimal control time for such systems. This talk is based on a joint work with Guillaume Olive.