The Maximum Principle for Optimal Control Problems with Time Delays

A. Boccia; R. B. Vinter

doi:10.1137/16m1085474

The Maximum Principle for Optimal Control Problems with Time Delays

SIAM Journal on Control and Optimization ◽

10.1137/16m1085474 ◽

2017 ◽

Vol 55 (5) ◽

pp. 2905-2935 ◽

Cited By ~ 4

Author(s):

A. Boccia ◽

R. B. Vinter

Keyword(s):

Optimal Control ◽

Maximum Principle ◽

Time Delays ◽

Optimal Control Problems ◽

Control Problems ◽

The Maximum Principle

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The Maximum Principle for Optimal Control Problems with Time Delays**This work was co-funded by the EPSRC grant Control For Energy and Sustainability, grant reference EP/G066477/1 and by the European Union under the 7th Framework Programme “FP7-PEOPLE-2010-ITN”, grant agreement number 264735-SADCO.

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2016.10.290 ◽

2016 ◽

Vol 49 (18) ◽

pp. 951-955 ◽

Cited By ~ 3

Author(s):

A. Boccia ◽

R.B. Vinter

Keyword(s):

Optimal Control ◽

European Union ◽

Maximum Principle ◽

Time Delays ◽

Optimal Control Problems ◽

Control Problems ◽

Framework Programme ◽

The European Union ◽

The Maximum Principle

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Conditions for the absence of jumps of the solution to the adjoint system of the maximum principle for optimal control problems with state constraints

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543816020036 ◽

2016 ◽

Vol 292 (S1) ◽

pp. 27-35 ◽

Cited By ~ 5

Author(s):

A. V. Arutyunov ◽

D. Yu. Karamzin ◽

F. L. Pereira

Keyword(s):

Optimal Control ◽

Maximum Principle ◽

State Constraints ◽

Optimal Control Problems ◽

Adjoint System ◽

Control Problems ◽

The Maximum Principle

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The maximum principle in optimal control problems for an elliptic equation (in Russian)

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/200 ◽

1986 ◽

Vol 5 (4) ◽

pp. 289-306 ◽

Cited By ~ 1

Author(s):

Uldis Raitums

Keyword(s):

Optimal Control ◽

Maximum Principle ◽

Elliptic Equation ◽

Optimal Control Problems ◽

Control Problems ◽

The Maximum Principle

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Investigation of the Degeneracy Phenomenon of the Maximum Principle for Optimal Control Problems with State Constraints

SIAM Journal on Control and Optimization ◽

10.1137/s036301299426996x ◽

1997 ◽

Vol 35 (3) ◽

pp. 930-952 ◽

Cited By ~ 77

Author(s):

Aram V. Arutyunov ◽

Sergei M. Aseev

Keyword(s):

Optimal Control ◽

Maximum Principle ◽

State Constraints ◽

Optimal Control Problems ◽

Control Problems ◽

The Maximum Principle

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LIPSCHITZ CONTINUITY OF THE MEASURE LAGRANGE MULTIPLIER FROM THE MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS OF EQUALITY AND INEQUALITY TYPE

Tambov University Reports Series Natural and Technical Sciences ◽

10.20310/1810-0198-2017-22-3-508-516 ◽

2017 ◽

Vol 22 (3) ◽

pp. 508-516

Author(s):

A.V. Gorbacheva ◽

◽

D.Yu. Karamzin ◽

Keyword(s):

Optimal Control ◽

Maximum Principle ◽

Lagrange Multiplier ◽

State Constraints ◽

Optimal Control Problems ◽

Lipschitz Continuity ◽

Control Problems ◽

The Maximum Principle ◽

Inequality Type

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The connection between the maximum principle and the value function for optimal control problems under state constraints

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

10.1109/cdc.2004.1428798 ◽

2004 ◽

Cited By ~ 3

Author(s):

A. Cernea ◽

H. Frankowska

Keyword(s):

Optimal Control ◽

Maximum Principle ◽

State Constraints ◽

Value Function ◽

Optimal Control Problems ◽

Control Problems ◽

The Maximum Principle ◽

The Value Function

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New approximation method in the proof of the Maximum Principle for nonsmooth optimal control problems with state constraints

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.03.056 ◽

2007 ◽

Vol 326 (2) ◽

pp. 974-1000 ◽

Cited By ~ 7

Author(s):

Ilya A. Shvartsman

Keyword(s):

Optimal Control ◽

Maximum Principle ◽

Approximation Method ◽

State Constraints ◽

Optimal Control Problems ◽

Control Problems ◽

The Maximum Principle ◽

Nonsmooth Optimal Control

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Existence Theory and the Maximum Principle for Relaxed Infinite-Dimensional Optimal Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/s0363012991220244 ◽

1994 ◽

Vol 32 (2) ◽

pp. 311-331 ◽

Cited By ~ 15

Author(s):

H. O. Fattorini

Keyword(s):

Optimal Control ◽

Maximum Principle ◽

Optimal Control Problems ◽

Existence Theory ◽

Control Problems ◽

The Maximum Principle ◽

Infinite Dimensional

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Comments on "Hybrid Computer Solution of Optimal Control Problems by the Maximum Principle"

IEEE Transactions on Computers ◽

10.1109/tc.1968.229116 ◽

1968 ◽

Vol C-17 (9) ◽

pp. 899-899 ◽

Cited By ~ 1

Author(s):

J.S. Rosko

Keyword(s):

Optimal Control ◽

Maximum Principle ◽

Optimal Control Problems ◽

Control Problems ◽

Computer Solution ◽

The Maximum Principle ◽

Hybrid Computer

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An elementary proof of the maximum principle for optimal control problems governed by a Volterra integral equation

Journal of Optimization Theory and Applications ◽

10.1007/bf00940404 ◽

1987 ◽

Vol 54 (1) ◽

pp. 43-61 ◽

Cited By ~ 23

Author(s):

D. A. Carlson

Keyword(s):

Optimal Control ◽

Integral Equation ◽

Maximum Principle ◽

Volterra Integral Equation ◽

Elementary Proof ◽

Optimal Control Problems ◽

Control Problems ◽

The Maximum Principle

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