Feasible Perturbations of Control Systems with Pure State Constraints and Applications to Second-Order Optimality Conditions

Applied Mathematics & Optimization ◽

10.1007/s00245-013-9204-6 ◽

2013 ◽

Vol 68 (2) ◽

pp. 219-253 ◽

Author(s):

Daniel Hoehener

Keyword(s):

Optimality Conditions ◽

Control Systems ◽

State Constraints ◽

Second Order ◽

Second Order Optimality Conditions ◽

Pure State Constraints

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Variational Approach to Second-Order Optimality Conditions for Control Problems with Pure State Constraints

SIAM Journal on Control and Optimization ◽

10.1137/110828320 ◽

2012 ◽

Vol 50 (3) ◽

pp. 1139-1173 ◽

Author(s):

Daniel Hoehener

Keyword(s):

Optimality Conditions ◽

Variational Approach ◽

State Constraints ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Pure State Constraints

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First- and second-order optimality conditions for a strong local minimum in control problems with pure state constraints

Nonlinear Analysis ◽

10.1016/j.na.2006.08.046 ◽

2007 ◽

Vol 67 (8) ◽

pp. 2506-2526 ◽

Author(s):

Zsolt Páles ◽

Vera Zeidan

Keyword(s):

Optimality Conditions ◽

Local Minimum ◽

State Constraints ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Pure State Constraints ◽

Strong Local Minimum

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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 analysis for optimal control problems with pure state constraints and mixed control-state constraints

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2007.12.002 ◽

2009 ◽

Vol 26 (2) ◽

pp. 561-598 ◽

Author(s):

J. Frédéric Bonnans ◽

Audrey Hermant

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Order Analysis ◽

Mixed Control ◽

Pure State Constraints ◽

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Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints

SIAM Journal on Optimization ◽

10.1137/07068240x ◽

2008 ◽

Vol 19 (2) ◽

pp. 616-643 ◽

Author(s):

Eduardo Casas ◽

Juan Carlos de los Reyes ◽

Fredi Tröltzsch

Keyword(s):

Optimality Conditions ◽

State Constraints ◽

Second Order ◽

Control Problems ◽

Pointwise State Constraints ◽

Second Order Optimality Conditions

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Sufficient Second-Order Optimality Conditions for a Parabolic Optimal Control Problem with Pointwise Control-State Constraints

SIAM Journal on Control and Optimization ◽

10.1137/s0363012902403262 ◽

2003 ◽

Vol 42 (1) ◽

pp. 138-154 ◽

Author(s):

A. Rösch ◽

F. Tröltzsch

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

State Constraints ◽

Second Order ◽

Second Order Optimality Conditions ◽

Parabolic Optimal Control ◽

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Second Order Optimality Conditions for Semilinear Elliptic Control Problems with Finitely Many State Constraints

SIAM Journal on Control and Optimization ◽

10.1137/s0363012900382011 ◽

2002 ◽

Vol 40 (5) ◽

pp. 1431-1454 ◽

Author(s):

Eduardo Casas ◽

Mariano Mateos

Keyword(s):

Optimality Conditions ◽

State Constraints ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Semilinear Elliptic ◽

Elliptic Control Problems

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Second Order Optimality Conditions for Some Control Problems of Semilinear Elliptic Equations with Integral State Constraints

Optimal Control of Partial Differential Equations ◽

10.1007/978-3-0348-8691-8_8 ◽

1999 ◽

pp. 89-97

Author(s):

Eduardo Casas ◽

Fredi Tröltzsch ◽

Andreas Unger

Keyword(s):

Optimality Conditions ◽

Elliptic Equations ◽

State Constraints ◽

Second Order ◽

Semilinear Elliptic Equations ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Semilinear Elliptic

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Sufficient Second‐Order Optimality Conditions for an Elliptic Optimal Control Problem with Pointwise Control‐State Constraints

SIAM Journal on Optimization ◽

10.1137/050625850 ◽

2006 ◽

Vol 17 (3) ◽

pp. 776-794 ◽

Author(s):

A. Rösch ◽

F. Tröltzsch

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

State Constraints ◽

Second Order ◽

Second Order Optimality Conditions ◽

Elliptic Optimal Control Problem ◽

Elliptic Optimal Control ◽

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New bifurcation theorems via the second-order optimality conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.06.037 ◽

2009 ◽

Vol 359 (2) ◽

pp. 752-764 ◽

Author(s):

A.V. Arutyunov ◽

A.F. Izmailov ◽

V. Jaćimović

Keyword(s):

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions

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