论文标题
标量保护定律的输入到州的稳定性，具有非本地速度
Input-to-state stability of a scalar conservation law with nonlocal velocity
论文作者
论文摘要
在本文中，我们研究了标量保护定律的均衡性稳定性（ISS），其非本地速度和测量误差在高度重新进入制造系统中产生。通过使用合适的Lyapunov功能，我们证明了ISS的足够和必要的条件。我们还分析了ISS的数值离散化，用于具有非局部速度和测量误差的离散标量保护定律。还分析了合适的离散的Lyapunov函数，以提供数值近似值的平衡。最后，我们显示数值模拟以验证理论发现。
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 a highly re-entrant manufacturing system. By using a suitable Lyapunov function, we prove sufficient and necessary conditions on ISS. We also analyze the numerical discretization of ISS for a discrete scalar conservation law with nonlocal velocity and measurement error. A suitable discretized Lyapunov function is also analyzed to provide ISS of an equilibrium for the numerical approximation. Finally, we show numerical simulations to validate the theoretical findings.
