FIRST ORDER SUFFICIENT OPTIMALITY CONDITIONS FOR NAVIER-STOKES FLOW. DUAL FEEDBACK CONTROLS

被引：4

作者：

Nowakowski, Andrzej ^{[1
]}

机构：

[1] Univ Lodz, Fac Math & Comp Sci, PL-90238 Lodz, Poland

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2017年 / 55卷 / 04期

关键词：

optimal control; Navier-Stokes equations; dual dynamic programming; sufficient optimality conditions; BOUNDARY CONTROL; 2ND-ORDER; EQUATIONS;

D O I：

10.1137/16M1082998

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The Navier-Stokes system of partial differential equations with Navier boundary condition that models the evolution of viscous, incompressible flows is studied as a controllable system and the optimal cost functional with respect to that control is invstigated. A dual dynamic programming approach is proposed and sufficient optimality conditions in terms of verification theorem are proved. The essential novelty of the paper is that all equations under consideration are treated in weak form. Dual feedback controls are proposed for the problem under study.

引用

页码：2734 / 2747

页数：14

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