Second-order optimality conditions for semilinear elliptic control problems with constraints on the gradient of the state

被引：0

作者：

Casas, E ^{[1
]}

Fernández, LA

Mateos, M

机构：

[1] Univ Cantabria, ETSI Ind & Telecomunicac, Dipartmento Matemat Aplicada & Ciencias Computac, Cantabria, Spain

[2] Univ Cantabria, Fac Ciencias, Dipartmento Matemat Estadist & Computac, Cantabria, Spain

[3] Univ Oviedo, Dipartimento Matemat, Oviedo, Spain

来源：

CONTROL AND CYBERNETICS | 1999年 / 28卷 / 03期

关键词：

optimal control; second order conditions; semilinear elliptic PDE; state gradient constraints;

D O I：

暂无

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 aim of this paper is to state the second order necessary and sufficient optimality conditions for distributed control problems governed by the Neumann problem associated to a semilinear elliptic partial differential equation. Bound constraints on control are considered, as well as equality and inequality constraints of integral type on the gradient of the state.

引用

页码：463 / 479

页数：17

共 50 条

[21] On the no-gap second-order optimality conditions for a non-smooth semilinear elliptic optimal control
Nhu, Vu Huu
OPTIMIZATION, 2022, 71 (14) : 4289 - 4319
[22] Sufficient second-order optimality conditions for convex control constraints
Wachsmuth, D
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 319 (01) : 228 - 247
[23] Some Remarks on the Issue of Second-order Optimality Conditions in Control Problems with Mixed Constraints
Arutyunov, Aram, V
Karamzin, Dmitry Yu
Pereira, Fernando Lobo
IFAC PAPERSONLINE, 2022, 55 (16): : 231 - 235
[24] SECOND-ORDER SUFFICIENT OPTIMALITY CONDITIONS FOR CONTROL PROBLEMS WITH LINEARLY INDEPENDENT GRADIENTS OF CONTROL CONSTRAINTS
Osmolovskii, Nikolai P.
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2012, 18 (02) : 452 - 482
[25] First- and second-order optimality conditions for a strong local minimum in control problems with pure state constraints
Pales, Zsolt
Zeidan, Vera
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (08) : 2506 - 2526
[26] NECESSARY OPTIMALITY CONDITIONS FOR A CLASS OF SEMILINEAR ELLIPTIC OPTIMAL CONTROL PROBLEMS WITH PURE STATE CONSTRAINTS AND MIXED POINTWISE CONSTRAINTS
Kien, B. T.
Nhu, V. H.
Wong, M. M.
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (07) : 1363 - 1383
[27] Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints
Raymond, JP
Tröltzsch, F
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2000, 6 (02) : 431 - 450
[28] On the regularity of multipliers and second-order optimality conditions of KKT-type for semilinear parabolic control problems
Khanh, H.
Kien, B. T.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 538 (01)
[29] Second-order optimality conditions for singular extremals in optimal control problems with equality endpoint constraints
Arutyunov, A. V.
Shvartsman, I. A.
Zhukovskaya, Z. T.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 157 : 20 - 43
[30] Feasible Perturbations of Control Systems with Pure State Constraints and Applications to Second-Order Optimality Conditions
Daniel Hoehener
Applied Mathematics & Optimization, 2013, 68 : 219 - 253

← 1 2 3 4 5 →