On a kind of time optimal control problem of the heat equation

Advances in Difference Equations

Yifan Zhang¹ 

[1] School of Mathematics and Statistics, Central South University;

关键词: Heat equation;    Time-varying;    Bang–bang property;    Time optimal control problem;   

DOI  :  10.1186/s13662-018-1577-z

来源: DOAJ

【 摘 要 】

Abstract In this paper, we consider a kind of time-varying bang–bang property of time optimal boundary controls for the heat equation. The time-varying bang–bang property in the interior domain has been considered in some papers, but regarding the time optimal boundary control problem it is still unsolved. In this paper, we determine that there exists at least one solution to the time optimal boundary control problem with time-varying controls.

【 授权许可】

Unknown