Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation
Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation
In this paper, we study the exponential stabilization of a shock steady state for the inviscid Burgers equation on a bounded interval. Our analysis relies on the construction of an explicit strict control Lyapunov function. We prove that by appropriately choosing the feedback boundary conditions, we can stabilize the state …