PONTRYAGIN'S PRINCIPLE FOR LOCAL SOLUTIONS OF OPTIMAL CONTROL GOVERNED BY THE 2D NAVIER-STOKES EQUATIONS WITH MIXED CONTROL-STATE CONSTRAINTS

被引：2

作者：

Yu, Huaiqiang ^{[1
]}

Liu, Bin ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2012年 / 2卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Optimal control; 2D Navier-Stokes equation; Pontryagin's principle; State constraints; Control-state constraints; Local optimal solution; MAXIMUM PRINCIPLE; CONTROLLABILITY;

D O I：

10.3934/mcrf.2012.2.61

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the Pontryagin's principle of optimal control problems governed by the 2D Navier-Stokes equations with integral state constraints and coupled integral control-state constraints. As an application, the necessary conditions for the local solution in the sense of L-r(0, T; L-2 (Omega)) (2 < r < infinity) are also obtained.

引用

页码：61 / 80

页数：20

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