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Time Optimal Feedback Control for 3D Navier–Stokes-Voigt Equations

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成果类型:
期刊论文
作者:
Li, Yunxiang;Bin, Maojun;Shi, Cuiyun
通讯作者:
Shi, CY
作者机构:
[Li, Yunxiang; Bin, Maojun] Yulin Normal Univ, Guangxi Coll & Univ Key Lab Complex Syst Optimizat, Yulin 537000, Peoples R China.
[Li, Yunxiang] Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China.
[Shi, Cuiyun] Guilin Univ Technol Nanning, Sch Basic Sci, Nanning 530001, Peoples R China.
通讯机构:
[Shi, CY ] G
Guilin Univ Technol Nanning, Sch Basic Sci, Nanning 530001, Peoples R China.
语种:
英文
关键词:
3D Navier-Stokes-Voigt equations;admissible trajectories set;admissible control set;feedback control;time optimal control
期刊:
Symmetry
ISSN:
2073-8994
年:
2023
卷:
15
期:
5
页码:
1127-
基金类别:
Conceptualization, M.B.; formal analysis, Y.L.; investigation, C.S.; writing—original draft preparation, M.B.; writing—review and editing, C.S.; funding acquisition, Y.L. All authors have read and agreed to the published version of the manuscript. This work was supported by NSF of Guangxi Grant (Nos. 2020GXNSFAA159152, 2021GXNSFAA220130, 2022GXNSFAA035617).
机构署名:
本校为其他机构
院系归属:
理学院
摘要:
In this article, we discuss a time optimal feedback control for asymmetrical 3D Navier–Stokes–Voigt equations. Firstly, we consider the existence of the admissible trajectories for the asymmetrical 3D Navier–Stokes–Voigt equations by using the well-known Cesari property and the Fillippove’s theorem. Secondly, we study the existence result of a time optimal control for the feedback control systems. Lastly, asymmetrical Clarke’s subdifferential inclusions and asymmetrical 3D Navier–Stokes–Voigt differential variational...

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