Optimal control problem for exact synchronization of parabolic system
Optimal control problem for exact synchronization of parabolic system
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DOI：
10.3934/mcrf.2019019
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发表时间：
2019-04
影响因子：
1.2
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
本文研究了一类抛物系统的精确同步，得到了相应最优控制问题的Pontryagin最大值原理。该方法依赖于抛物系统零能控性和线性抛物系统能观性估计的性质。
In this paper, we consider the exact synchronization of a kind of parabolic system and obtain Pontryagin's maximum principle for a related optimal control problem. The method relies on the properties of the null controllability for parabolic system and an observability estimate for a linear parabolic system.