Necessary conditions for constrained optimal control problems via mathematical programming

Numerical Functional Analysis and Optimization ◽

10.1080/01630569008816375 ◽

1990 ◽

Vol 11 (3-4) ◽

pp. 267-281 ◽

Author(s):

Satoshi Ito ◽

Kiyotaka Shimizu

Keyword(s):

Optimal Control ◽

Mathematical Programming ◽

Optimal Control Problems ◽

Necessary Conditions ◽

Control Problems ◽

Constrained Optimal Control

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Nondegeneracy and normality in necessary conditions involving Hamiltonian inclusions for state-constrained optimal control problems

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601) ◽

10.1109/cdc.2004.1428801 ◽

2004 ◽

Author(s):

Md.R. de Pinho ◽

M.M.A. Ferreira ◽

F.A.C.C. Fontes

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Necessary Conditions ◽

Control Problems ◽

Constrained Optimal Control

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On the Orthogonal Collocation and Mathematical Programming Approach for State Constrained Optimal Control Problems

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)60907-8 ◽

1985 ◽

Vol 18 (2) ◽

pp. 1-7

Author(s):

O.E. Abdelrahman ◽

B.M. Abuelnasr

Keyword(s):

Optimal Control ◽

Mathematical Programming ◽

Optimal Control Problems ◽

Programming Approach ◽

Control Problems ◽

Orthogonal Collocation ◽

Constrained Optimal Control ◽

Mathematical Programming Approach

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On the orthogonal collocation and mathematical programming approach for state constrained optimal control problems

Annual Review in Automatic Programming ◽

10.1016/0066-4138(85)90456-2 ◽

1985 ◽

Vol 13 ◽

pp. 1-7

Author(s):

O.E Abdelrahman ◽

B.M Abuelnasr

Keyword(s):

Optimal Control ◽

Mathematical Programming ◽

Optimal Control Problems ◽

Programming Approach ◽

Control Problems ◽

Orthogonal Collocation ◽

Constrained Optimal Control ◽

Mathematical Programming Approach

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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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Unmaximized inclusion necessary conditions for nonconvex constrained optimal control problems

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv:2005020 ◽

2005 ◽

Vol 11 (4) ◽

pp. 614-632 ◽

Author(s):

Maria do Rosário de Pinho ◽

Maria Margarida Ferreira ◽

Fernando Fontes

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Necessary Conditions ◽

Control Problems ◽

Constrained Optimal Control

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On the Orthogonal Collocation and Mathematical Programming Approach for State Constrained Optimal Control Problems

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)69225-5 ◽

1985 ◽

Vol 18 (2) ◽

pp. 218

Author(s):

O.E. Abdelrahman ◽

B.M. Abuelnasr

Keyword(s):

Optimal Control ◽

Mathematical Programming ◽

Optimal Control Problems ◽

Programming Approach ◽

Control Problems ◽

Orthogonal Collocation ◽

Constrained Optimal Control ◽

Mathematical Programming Approach

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ON THE ORTHOGONAL COLLOCATION AND MATHEMATICAL PROGRAMMING APPROACH FOR STATE CONSTRAINED OPTIMAL CONTROL PROBLEMS

Control Applications of Nonlinear Programming and Optimization ◽

10.1016/b978-0-08-031665-9.50006-7 ◽

1986 ◽

pp. 1-7

Author(s):

O.E. Abdelrahman ◽

B.M. Abuelnasr

Keyword(s):

Optimal Control ◽

Mathematical Programming ◽

Optimal Control Problems ◽

Programming Approach ◽

Control Problems ◽

Orthogonal Collocation ◽

Constrained Optimal Control ◽

Mathematical Programming Approach

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A Canonical Structure for Constrained Optimal Control Problems

1993 American Control Conference ◽

10.23919/acc.1993.4793145 ◽

1993 ◽

Author(s):

Jie Chen ◽

Guoxiang Gu ◽

Carl N. Nett ◽

Dapeng Xiong

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Canonical Structure ◽

Constrained Optimal Control

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On the structure of Lagrange multipliers for state-constrained optimal control problems

Systems & Control Letters ◽

10.1016/s0167-6911(02)00262-1 ◽

2003 ◽

Vol 48 (3-4) ◽

pp. 169-176 ◽

Author(s):

Maı̈tine Bergounioux ◽

Karl Kunisch

Keyword(s):

Optimal Control ◽

Lagrange Multipliers ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control

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Homogenization of constrained optimal control problems for one-dimensional elliptic equations on periodic graphs

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv:2008037 ◽

2008 ◽

Vol 15 (2) ◽

pp. 471-498 ◽

Author(s):

Peter I. Kogut ◽

Günter Leugering

Keyword(s):

Optimal Control ◽

Elliptic Equations ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control ◽

One Dimensional ◽

Periodic Graphs

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