An abstract bang-bang principle and time-optimal boundary control of the heat equation

被引：44

作者：

Mizel, VJ ^{[1
]}

Seidman, TI ^{[1
]}

机构：

[1] UNIV MARYLAND BALTIMORE CTY,DEPT MATH & STAT,BALTIMORE,MD 21250

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1997年 / 35卷 / 04期

关键词：

partial differential equation; bang-bang control; nullcontrol; reachability;

D O I：

10.1137/S0363012996265470

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A principal technical result of this paper is that the one-dimensional heat equation with boundary control is exactly null-controllable with control restricted to an arbitrary set epsilon subset of [0, T] of positive measure, A general abstract argument is presented to show that, in contrast to previous results, this implies the bang-bang property ibr time-optimal controls - i.e., such a control can take only extreme values of (the hull of) the constraint set - without imposing any condition regarding the target state.

引用

页码：1204 / 1216

页数：13

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