Optimal Control with Time Delays via the Penalty Method

被引：11

作者：

Benharrat, Mohammed ^{[1
]}

Torres, Delfim F. M. ^{[2
]}

机构：

[1] Ecole Natl Polytech Oran Ex ENSET Oran, Dept Math & Informat, El MNaouar 1523, Oran, Algeria

[2] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2014年 / 2014卷

关键词：

CONTROLLABILITY; SYSTEMS; THEOREM; STATE;

D O I：

10.1155/2014/250419

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We prove necessary optimality conditions of Euler-Lagrange type for a problem of the calculus of variations with time delays, where the delay in the unknown function is different from the delay in its derivative. Then, a more general optimal control problem with time delays is considered. Main result gives a convergence theorem, allowing us to obtain a solution to the delayed optimal control problem by considering a sequence of delayed problems of the calculus of variations.

引用

页数：9

共 13 条

[1] Exterior penalty in optimal control problem with state-control constraints
Benharrat, Mohammed
Mokhtar-Kharroubi, Hocine
[J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2010, 59 (02) : 389 - 403
[2] ON THE CONTROLLABILITY OF NON-LINEAR SYSTEMS WITH TIME-VARIABLE DELAYS
DACKA, C
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (04) : 956 - 959
[3] Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions
Debbouche, Amar
Torres, Delfim F. M.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 243 : 161 - 175
[4] Approximate controllability of fractional nonlocal delay semilinear systems in Hilbert spaces
Debbouche, Amar
Torres, Delfim F. M.
[J]. INTERNATIONAL JOURNAL OF CONTROL, 2013, 86 (09) : 1577 - 1585
[5] Frederico G.S. F., 2013, Int. J. Difference Equ, V8, P49
[6] NOETHER'S SYMMETRY THEOREM FOR VARIATIONAL AND OPTIMAL CONTROL PROBLEMS WITH TIME DELAY
Frederico, Gastao S. F.
Torres, Delfim F. M.
[J]. NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2012, 2 (03): : 619 - 630
[7] Noether's theorem for non-smooth extremals of variational problems with time delay
Frederico, Gastao S. F.
Odzijewicz, Tatiana
Torres, Delfim F. M.
[J]. APPLICABLE ANALYSIS, 2014, 93 (01) : 153 - 170
[8] Optimal control problems with delays in state and control variables subject to mixed control-state constraints
Goellmann, L.
Kern, D.
Maurer, H.
[J]. OPTIMAL CONTROL APPLICATIONS & METHODS, 2009, 30 (04) : 341 - 365
[9] THEORY AND APPLICATIONS OF OPTIMAL CONTROL PROBLEMS WITH MULTIPLE TIME-DELAYS
Goellmann, Laurenz
Maurer, Helmut
[J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2014, 10 (02) : 413 - 441
[10] Time-delay systems: an overview of some recent advances and open problems
Richard, JP
[J]. AUTOMATICA, 2003, 39 (10) : 1667 - 1694

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