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

被引：0
作者：
Li, Yunxiang [1 ,2 ]
Bin, Maojun [1 ]
Shi, Cuiyun [3 ]
机构：
[1] Yulin Normal Univ, Guangxi Coll & Univ Key Lab Complex Syst Optimizat, Yulin 537000, Peoples R China
[2] Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China
[3] Guilin Univ Technol Nanning, Sch Basic Sci, Nanning 530001, Peoples R China
来源：
SYMMETRY-BASEL | 2023年 / 15卷 / 05期
关键词：
3D Navier-Stokes-Voigt equations; admissible trajectories set; admissible control set; feedback control; time optimal control; NONCONVEX OPTIMAL-CONTROL; SENSITIVITY-ANALYSIS; RELAXATION; ATTRACTOR; FLOW;
D O I：
10.3390/sym15051127
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
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 inequalities are given to explain our main results.
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页数：13
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