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.

引用

页数：13

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