First and second order sufficient conditions for optimal control and the calculus of variations

Applied Mathematics & Optimization ◽

10.1007/bf01442179 ◽

1984 ◽

Vol 11 (1) ◽

pp. 209-226 ◽

Author(s):

Vera Zeidan

Keyword(s):

Optimal Control ◽

Calculus Of Variations ◽

Sufficient Conditions ◽

Second Order ◽

Second Order Sufficient Conditions

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Second Order Sufficient Conditions for Optimal Control Problems with Non-unique Minimizers: An Abstract Framework

Applied Mathematics & Optimization ◽

10.1007/s00245-014-9245-5 ◽

2014 ◽

Vol 70 (3) ◽

pp. 411-442 ◽

Author(s):

C. Gavriel ◽

R. B. Vinter

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Sufficient Conditions ◽

Second Order ◽

Control Problems ◽

Abstract Framework ◽

Second Order Sufficient Conditions

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Second-order sufficient conditions for strong solutions to optimal control problems

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv/2013080 ◽

2014 ◽

Vol 20 (3) ◽

pp. 704-724 ◽

Author(s):

J. Frédéric Bonnans ◽

Xavier Dupuis ◽

Laurent Pfeiffer

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Sufficient Conditions ◽

Strong Solutions ◽

Second Order ◽

Control Problems ◽

Second Order Sufficient Conditions

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Second-Order Sufficient Conditions for State-Constrained Optimal Control Problems

Journal of Optimization Theory and Applications ◽

10.1007/s10957-004-5725-0 ◽

2004 ◽

Vol 123 (3) ◽

pp. 595-617 ◽

Author(s):

K. Malanowski ◽

H. Maurer ◽

S. Pickenhain

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Sufficient Conditions ◽

Second Order ◽

Control Problems ◽

Constrained Optimal Control ◽

Second Order Sufficient Conditions

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Second Order Sufficient Conditions for Optimal Control Problems with Free Final Time: The Riccati Approach

SIAM Journal on Control and Optimization ◽

10.1137/s0363012900377419 ◽

2002 ◽

Vol 41 (2) ◽

pp. 380-403 ◽

Author(s):

Helmut Maurer ◽

Hans Joachim Oberle

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Sufficient Conditions ◽

Second Order ◽

Control Problems ◽

Second Order Sufficient Conditions

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Second order sufficient conditions for optimal control problems with non-unique minimizers

Proceedings of the 2010 American Control Conference ◽

10.1109/acc.2010.5530919 ◽

2010 ◽

Author(s):

Christos Gavriel ◽

Richard Vinter

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Sufficient Conditions ◽

Second Order ◽

Control Problems ◽

Second Order Sufficient Conditions

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Second Order Sufficient Conditions for Optimal Control Subject to First Order State Constraints

Control and Boundary Analysis - Lecture Notes in Pure and Applied Mathematics ◽

10.1201/9781420027426.ch22 ◽

2005 ◽

pp. 293-304

Author(s):

Kazimierz Malanowski ◽

Sabine Pickenhain ◽

Helmut Maurer

Keyword(s):

Optimal Control ◽

Control Subject ◽

State Constraints ◽

Sufficient Conditions ◽

Second Order ◽

First Order ◽

Second Order Sufficient Conditions ◽

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Second order sufficient conditions for local optimal control problems evolved on manifolds

2016 35th Chinese Control Conference (CCC) ◽

10.1109/chicc.2016.7553279 ◽

2016 ◽

Author(s):

Li Deng

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Sufficient Conditions ◽

Second Order ◽

Control Problems ◽

Second Order Sufficient Conditions

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Optimal Control of a Free Boundary Problem: Analysis with Second-Order Sufficient Conditions

SIAM Journal on Control and Optimization ◽

10.1137/120893306 ◽

2014 ◽

Vol 52 (5) ◽

pp. 2771-2799 ◽

Author(s):

Harbir Antil ◽

Ricardo H. Nochetto ◽

Patrick Sodré

Keyword(s):

Optimal Control ◽

Free Boundary ◽

Boundary Problem ◽

Free Boundary Problem ◽

Sufficient Conditions ◽

Second Order ◽

Problem Analysis ◽

A Free Boundary Problem ◽

Second Order Sufficient Conditions

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Second Order Suﬃcient Conditions for Optimal Control Subject to First Order State Constraints

Control and Boundary Analysis ◽

10.1201/9781420027426-27 ◽

2005 ◽

pp. 313-324

Keyword(s):

Optimal Control ◽

Control Subject ◽

State Constraints ◽

Sufficient Conditions ◽

Second Order ◽

First Order ◽

Second Order Sufficient Conditions ◽

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Second order sufficient conditions and sensitivity analysis for the optimal control of a container crane under state constraints

Optimization ◽

10.1080/02331930108844537 ◽

2001 ◽

Vol 49 (4) ◽

pp. 351-368 ◽

Author(s):

Dirk. Augustin ◽

Helmut. Maurer

Keyword(s):

Optimal Control ◽

Sensitivity Analysis ◽

State Constraints ◽

Sufficient Conditions ◽

Second Order ◽

Container Crane ◽

Second Order Sufficient Conditions

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