Output Feedback Stabilization for a Scalar Conservation Law with a Nonlocal Velocity

Abstract

In this paper, we study the output feedback stabilization for a scalar conservation law with a nonlocal velocity that models a highly re-entrant manufacturing system as encountered in semiconductor production. By spectral analysis, we obtain a complete result on the exponential stabilization for the linearized control system. Moreover, by using a Lyapunov function approach, we also prove the exponential stabilization results for the nonlinear control system in certain cases.