Minimal Time Impulse Control Problem of Semilinear Heat Equation
Minimal Time Impulse Control Problem of Semilinear Heat Equation
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DOI：
10.1007/s10957-020-01807-6
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发表时间：
2021-01
影响因子：
1.9
通讯作者：
Lijuan Wang
中科院分区：
文献类型：
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作者：
Lijuan Wang
研究一类半线性热方程的最小时间脉冲控制问题。研究了该问题的最优控制的存在性，建立了该问题的非平凡庞特里亚金极大值原理，并导出了最优控制的bang-bang性质。基于最优控制的存在性和bang-bang性质，讨论了最小时间脉冲控制问题及其对应的最小范数脉冲控制问题的等价性。
The paper is concerned with a kind of minimal time impulse control problem for a semilinear heat equation. We study the existence of optimal controls of this problem, establish a nontrivial Pontryagin’s maximum principle for this problem and then derive the bang–bang property of optimal controls. Based on the existence and the bang–bang property of optimal controls, we discuss the equivalence of the minimal time impulse control problem and its corresponding minimal norm impulse control problem.