Second-order necessary optimality conditions for a discrete optimal control problem

Differential Equations ◽

10.1134/s0012266114120088 ◽

2014 ◽

Vol 50 (12) ◽

pp. 1643-1649 ◽

Author(s):

Z. T. Mingaleeva ◽

I. A. Shvartsman

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem

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Second-Order Necessary Optimality Conditions for a Discrete Optimal Control Problem

Journal of Optimization Theory and Applications ◽

10.1007/s10957-014-0648-x ◽

2014 ◽

Vol 165 (3) ◽

pp. 812-836 ◽

Author(s):

N. T. Toan ◽

Q. H. Ansari ◽

J.-C. Yao

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem

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Second‐order necessary optimality conditions for a discrete optimal control problem with nonlinear state equations

Optimal Control Applications and Methods ◽

10.1002/oca.2655 ◽

2020 ◽

Vol 41 (6) ◽

pp. 2250-2281

Author(s):

N. T. Toan ◽

L. Q. Thuy ◽

Q. H. Ansari ◽

J.‐C. Yao

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

State Equations ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem ◽

Nonlinear State

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Second-order necessary optimality conditions for a discrete optimal control problem with mixed constraints

Journal of Global Optimization ◽

10.1007/s10898-015-0333-0 ◽

2015 ◽

Vol 64 (3) ◽

pp. 533-562 ◽

Author(s):

N. T. Toan ◽

L. Q. Thuy

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Mixed Constraints ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem

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Linearized and quadratic necessary optimality conditions in one 2-D discrete optimal control problem involving functional constraints of inequality type

2012 IV International Conference "Problems of Cybernetics and Informatics" (PCI) ◽

10.1109/icpci.2012.6486439 ◽

2012 ◽

Author(s):

Mehriban Nasiyati

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Functional Constraints ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem ◽

Inequality Type

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Necessary first and second order optimality conditions in a discrete optimal control problem

Automatic Control and Computer Sciences ◽

10.3103/s0146411613010021 ◽

2013 ◽

Vol 47 (1) ◽

pp. 7-14

Author(s):

R. R. Amirova ◽

K. B. Mansimov

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem

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Second-order optimality conditions in a discrete optimal control problem

Optimization ◽

10.1080/02331930601125044 ◽

2008 ◽

Vol 57 (4) ◽

pp. 539-548 ◽

Author(s):

B. Marinković

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem

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On the No-Gap Second-Order Optimality Conditions for a Discrete Optimal Control Problem with Mixed Constraints

Journal of Optimization Theory and Applications ◽

10.1007/s10957-017-1094-3 ◽

2017 ◽

Vol 173 (2) ◽

pp. 421-442

Author(s):

Le Quang Thuy ◽

Bui Thi Thanh ◽

Nguyen Thi Toan

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Second Order ◽

Mixed Constraints ◽

Second Order Optimality Conditions ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem

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Second Order Sufficiency Criteria for a Discrete Optimal Control Problem

The Journal of Difference Equations and Applications ◽

10.1080/10236190290027684 ◽

2002 ◽

Vol 8 (6) ◽

pp. 573-603 ◽

Author(s):

Roman Hilscher ◽

Vera Zeidan

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Second Order ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem

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Second-order Necessary Optimality Conditions for an Optimal Control Problem

Taiwanese Journal of Mathematics ◽

10.11650/tjm/190403 ◽

2020 ◽

Vol 24 (1) ◽

pp. 225-264

Author(s):

Toan Nguyen ◽

Thuy Le

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Necessary Optimality Conditions ◽

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NECESSARY OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL PROBLEM WITH SECOND ORDER EQUATION

Tambov University Reports Series Natural and Technical Sciences ◽

10.20310/1810-0198-2018-23-123-437-440 ◽

2018 ◽

pp. 437-440

Author(s):

Alexandr Mikhailovich Kotyukov ◽

Mikhail Mikhailovich Kotyukov

Keyword(s):

Optimal Control ◽

Maximum Principle ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Pontryagin Maximum Principle ◽

Necessary Optimality Conditions ◽

Order Equation ◽

An optimal control problem with second order equation is considered. For this problem Pontryagin maximum principle is obtained. Also non-triviality condition is proved.

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