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

K. Malanowski; H. Maurer; S. Pickenhain

doi:10.1007/s10957-004-5725-0

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 ◽

Cited By ~ 27

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 Non-unique Minimizers: An Abstract Framework

Applied Mathematics & Optimization ◽

10.1007/s00245-014-9245-5 ◽

2014 ◽

Vol 70 (3) ◽

pp. 411-442 ◽

Cited By ~ 1

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 ◽

Cited By ~ 1

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 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 ◽

Cited By ~ 47

Author(s):

Helmut Maurer ◽

Hans Joachim Oberle

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Sufficient Conditions ◽

Second Order ◽

Control Problems ◽

Final Time ◽

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 ◽

Cited By ~ 1

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 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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On L/sup 2/ sufficient conditions for end-constrained optimal control problems with inputs in a polyhedron

Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171) ◽

10.1109/cdc.1998.758679 ◽

2002 ◽

Author(s):

J.C. Dunn

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Sufficient Conditions ◽

Control Problems ◽

Constrained Optimal Control

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Second order necessary conditions for endpoints-constrained optimal control problems on Riemannian manifolds

Journal of Differential Equations ◽

10.1016/j.jde.2020.10.005 ◽

2021 ◽

Vol 272 ◽

pp. 854-910

Author(s):

Li Deng ◽

Xu Zhang

Keyword(s):

Optimal Control ◽

Riemannian Manifolds ◽

Optimal Control Problems ◽

Necessary Conditions ◽

Second Order ◽

Control Problems ◽

Constrained Optimal Control ◽

Second Order Necessary Conditions

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Second-Order Analysis for Control Constrained Optimal Control Problems of Semilinear Elliptic Systems

Applied Mathematics & Optimization ◽

10.1007/s002459900093 ◽

1998 ◽

Vol 38 (3) ◽

pp. 303-325 ◽

Cited By ~ 61

Author(s):

J. F. Bonnans

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Elliptic Systems ◽

Second Order ◽

Control Problems ◽

Semilinear Elliptic Systems ◽

Constrained Optimal Control ◽

Order Analysis ◽

Semilinear Elliptic

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Second-order necessary/sufficient conditions for optimal control problems in the absence of linear structure

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2010.14.1445 ◽

2010 ◽

Vol 14 (4) ◽

pp. 1445-1464 ◽

Cited By ~ 16

Author(s):

Hongwei Lou ◽

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Sufficient Conditions ◽

Linear Structure ◽

Second Order ◽

Control Problems

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$\Bbb L^2$ Sufficient Conditions for End-Constrained Optimal Control Problems With Inputs in a Polyhedron

SIAM Journal on Control and Optimization ◽

10.1137/s0363012995288513 ◽

1998 ◽

Vol 36 (5) ◽

pp. 1833-1851 ◽

Cited By ~ 2

Author(s):

J. C. Dunn

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Sufficient Conditions ◽

Control Problems ◽

Constrained Optimal Control

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