BANG-BANG PRINCIPLE FOR THE TIME-OPTIMAL PROBLEM IN BOUNDARY CONTROL OF THE HEAT-EQUATION

BANG-BANG PRINCIPLE FOR THE TIME-OPTIMAL PROBLEM IN BOUNDARY CONTROL OF THE HEAT-EQUATION
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DOI:
10.1137/0318008
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发表时间:
1980-01-01
影响因子:
2.2
通讯作者:
SCHMIDT, EJPG
SCHMIDT, EJPG
中科院分区:
数学2区
文献类型:
--
作者:
SCHMIDT, EJPG

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根据H. O. Fattorini,J.亨利和本文作者证明了热方程边界控制中任意可达目标温度分布下的时间最优控制是“bang-bang”的。
Following previous work by H. O. Fattorini, J. Henry and the present author it is proved that the time-optimal controls associated with arbitrary reachable target temperature distributions in boundary control for the heat equation (with bounds on the admissible controls) are “bang-bang”.