一类弦的快速镇定问题

The Rapid Calming Problem on a Kind of String

本文在控制能量受限的前提下,讨论一类具有混合边界的弦的快速镇定问题.证明了快速控制一定在控制域的边界上达到.推导出快速控制的具体表达式.

In this papar,assuming the control energy is subjected to constraint, We disscuss the rapid calming problem on a Kind of string with mixed-ends condition,and prove that the optimal control must be obtained at the boundary of the control set. At the same time,We have derired the concrete formula of the optimal control function dermed.