Lyapunov 功能在串联为二条开的隧道的盒子基于熵的加权的和被构造,它被 Saint-Venant 方程描述。边界反馈控制器的一个班被介绍借助于 Lyapunov 设计途径在平衡点的一位邻居保证本地靠近环的 asymptotic 稳定性。
A Lyapunov function is constructed based on the weighted sum of entropies for the case of two open channels in cascade, which is described by the Saint-Venant equations. A class of boundary feedback controllers is presented to guarantee the local closed-loop asymptotic stability in a neighborhood of the equilibrium point by means of the Lyapunov design approach.