Time Optimal Controls of Semilinear Heat Equation with Switching Control
Time Optimal Controls of Semilinear Heat Equation with Switching Control
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DOI：
10.1007/s10957-014-0606-7
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发表时间：
2015-04
影响因子：
1.9
通讯作者：
Lijuan Wang;Qishu Yan
中科院分区：
文献类型：
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作者：
Lijuan Wang;Qishu Yan
本文研究了时间最优控制的bang-bang性质，它由有界域上的半线性热方程控制，其中切换控制局部作用于两个开子集。证明依赖于线性热方程在时间上的正可测集合的可观性估计，以及Kakutani不动点论点。
This paper is concerned with the bang-bang property of time optimal controls, governed by a semilinear heat equation in a bounded domain with switching controls acting locally into two open subsets. The proofs rely on an observability estimate from a positive measurable set in time for the linear heat equation, and a Kakutani fixed point argument.