Maximum Principle of Optimal Control of the Primitive Equations of the Ocean With State Constraint

被引：3

作者：

Medjo, T. Tachim ^{[1
]}

机构：

[1] Florida Int Univ, Dept Math, Miami, FL 33199 USA

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2008年 / 29卷 / 11-12期

关键词：

Maximum principle; Primitive equations; State-constrained;

D O I：

10.1080/01630560802580463

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate in this paper Pontryagin's maximum principle for a class of control problems associated with the primitive equations (PEs) of the ocean. These optimal problems involve a state constraint similar to that considered in Wang and Wang (Nonlinear Analysis 2003; 52:1911-1931) for the three-dimensional Navier-Stokes (NS) equations. The main difference between this work and Wang and Wang (Nonlinear Analysis 2003; 52:1911-1931) is that the nonlinearity in the PEs is stronger than in the three-dimensional NS systems.

引用

页码：1299 / 1327

页数：29

共 50 条

[31] On the weak maximum principle for optimal control problems with state dependent control constraints
de Pinho, MD
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (04) : 2481 - 2488
[32] A sufficient stochastic maximum principle for a kind of recursive optimal control problem with obstacle constraint
Huang, Jianhui
Wang, Haiyang
Wu, Zhen
SYSTEMS & CONTROL LETTERS, 2018, 114 : 27 - 30
[33] A maximum principle for hybrid optimal control problems with pathwise state constraints
Caines, P. E.
Clarke, F. H.
Liu, X.
Vinter, R. B.
PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 4821 - 4825
[34] A Maximum Principle for State-Constrained Optimal Sweeping Control Problems
Khalil, Nathalie T.
Pereira, Fernando Lobo
IEEE CONTROL SYSTEMS LETTERS, 2022, 7 : 43 - 48
[35] On the Maximum Principle for Optimal Control Problems of Stochastic Volterra Integral Equations with Delay
Hamaguchi, Yushi
APPLIED MATHEMATICS AND OPTIMIZATION, 2023, 87 (03):
[36] On the Maximum Principle for Optimal Control Problems of Stochastic Volterra Integral Equations with Delay
Yushi Hamaguchi
Applied Mathematics & Optimization, 2023, 87
[37] Maximum principle of optimal control for degenerate quasi-linear elliptic equations
Lou, HW
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2003, 42 (01) : 1 - 23
[38] MAXIMUM PRINCIPLE IN OPTIMAL CONTROL OF SINGULAR ORDINARY DIFFERENTIAL EQUATIONS IN HILBERT SPACES
Alshahrani, M. M.
El-Gebeily, M. A.
Mordukhovich, B. S.
DYNAMIC SYSTEMS AND APPLICATIONS, 2012, 21 (2-3): : 219 - 233
[39] The maximum principle in optimal control, then and now
Clarke, F
CONTROL AND CYBERNETICS, 2005, 34 (03): : 709 - 722
[40] Generalized Maximum Principle in Optimal Control
E. R. Avakov
G. G. Magaril-Il’yaev
Doklady Mathematics, 2018, 98 : 575 - 578

← 1 2 3 4 5 →