| Abstract: |
| In this talk, we are concerned with the recent development of boundary stabilization problem of 1-D hyperbolic balance laws by using backstepping methods. We will show how to design boundary feedback controllers to rapidly stabilize the general 1-D coupled hyperbolic PDEs (linear or quasilinear, autonomous or non-autonomous (especially the case with the coefficients depending on time and space simultaneously) systems). In particular, the linear systems can be stabilized in optimal finite time. |
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