Input-to-State Stability of a Scalar Conservation Law with Nonlocal Velocity

In this paper, we study input-to-state stability (ISS) of an equilibrium for a scalar conservation law with nonlocal velocity and measurement error arising in highly re-entrant manufacturing system. By using suitable Lyapunov function, prove sufficient necessary conditions on ISS. We propose numerical discretization the error. A discrete function is analyzed to provide ISS proposed approximation. Finally, show computational results validate theoretical findings.