Some optimality conditions of quasilinear elliptic obstacle optimal control problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.11.038 ◽

2007 ◽

Vol 188 (2) ◽

pp. 1757-1771 ◽

Author(s):

Yuquan Ye ◽

Chi Kin Chan ◽

B.P.K. Leung

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Control Problems ◽

Quasilinear Elliptic

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First- and Second-Order Optimality Conditions for a Class of Optimal Control Problems with Quasilinear Elliptic Equations

SIAM Journal on Control and Optimization ◽

10.1137/080720048 ◽

2009 ◽

Vol 48 (2) ◽

pp. 688-718 ◽

Author(s):

Eduardo Casas ◽

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Elliptic Equations ◽

Optimal Control Problems ◽

Second Order ◽

Quasilinear Elliptic Equations ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Quasilinear Elliptic

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Necessary optimality conditions for switching optimal control problems with mixed constraints

Proceedings of the 33rd Chinese Control Conference ◽

10.1109/chicc.2014.6895631 ◽

2014 ◽

Author(s):

Lihua Li ◽

Yan Gao

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Necessary Optimality Conditions ◽

Control Problems ◽

Mixed Constraints

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Second-Order Necessary Optimality Conditions for a Class of Optimal Control Problems Governed by Partial Differential Equations with Pure State Constraints

Journal of Optimization Theory and Applications ◽

10.1007/s10957-014-0628-1 ◽

2014 ◽

Vol 165 (1) ◽

pp. 30-61 ◽

Author(s):

B. T. Kien ◽

V. H. Nhu ◽

A. Rösch

Keyword(s):

Optimal Control ◽

Partial Differential Equations ◽

Differential Equations ◽

Optimality Conditions ◽

State Constraints ◽

Optimal Control Problems ◽

Necessary Optimality Conditions ◽

Control Problems ◽

Pure State Constraints

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Second-Order Optimality Conditions and Solution Stability to Optimal Control Problems Governed by Stationary Navier-Stokes Equations

Acta Mathematica Vietnamica ◽

10.1007/s40306-018-00304-3 ◽

2018 ◽

Vol 44 (2) ◽

pp. 431-448 ◽

Author(s):

Bui Trong Kien

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Stokes Equations ◽

Navier Stokes ◽

Control Problems ◽

Solution Stability ◽

Navier Stokes Equations ◽

Second Order Optimality Conditions ◽

Stationary Navier Stokes Equations

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Second-Order KKT Optimality Conditions for MultiObjective Optimal Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/17m1161750 ◽

2018 ◽

Vol 56 (6) ◽

pp. 4069-4097 ◽

Author(s):

Bui Trong Kien ◽

Nguyen Van Tuyen ◽

Jen-Chih Yao

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Kkt Optimality Conditions ◽

Multiobjective Optimal Control

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Pareto Optimality Conditions for Abnormal Optimization and Optimal Control Problems

Optimal control of differential equations ◽

10.1201/9781003072225-14 ◽

2020 ◽

pp. 217-235

Author(s):

Urszula Ledzewicz ◽

Heinz Schaettler

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Pareto Optimality ◽

Optimal Control Problems ◽

Control Problems ◽

Optimization And Optimal Control

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Second-Order Optimality Conditions for Weak and Strong Local Solutions of Parabolic Optimal Control Problems

Vietnam Journal of Mathematics ◽

10.1007/s10013-015-0175-6 ◽

2015 ◽

Vol 44 (1) ◽

pp. 181-202 ◽

Author(s):

Eduardo Casas ◽

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Local Solutions ◽

Parabolic Optimal Control

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First-order necessary optimality conditions for infinite horizon optimal control problems with linear dynamics and convex objective

Optimization ◽

10.1080/02331934.2018.1434172 ◽

2018 ◽

Vol 67 (6) ◽

pp. 757-782 ◽

Author(s):

T. Ziemann ◽

S. Pickenhain

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Infinite Horizon ◽

Necessary Optimality Conditions ◽

Control Problems ◽

Linear Dynamics ◽

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On necessary optimality conditions for optimal control problems governed by elliptic systems

Optimization ◽

10.1080/02331930500050632 ◽

2005 ◽

Vol 54 (2) ◽

pp. 149-160 ◽

Author(s):

U. Raitums ◽

W. H. Schmidt

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Necessary Optimality Conditions ◽

Elliptic Systems ◽

Control Problems

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Optimal Control Problems with a First Order PDE System — Necessary and Sufficient Optimality Conditions

Online Optimization of Large Scale Systems ◽

10.1007/978-3-662-04331-8_11 ◽

2001 ◽

pp. 159-172 ◽

Author(s):

Sabine Pickenhain ◽

Marcus Wagner

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Control Problems ◽

Sufficient Optimality Conditions ◽

First Order ◽

First Order Pde ◽

Necessary And Sufficient

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