Homogenization of optimal control problems for functional differential equations

Standard

Homogenization of optimal control problems for functional differential equations. / Buttazzo, G.; Drakhlin, M. E.; Freddi, L.; Stepanov, E.

In: Journal of Optimization Theory and Applications, Vol. 93, No. 1, 04.1997, p. 103-119.

Research output: Contribution to journal › Article › peer-review

Author

Buttazzo, G. ; Drakhlin, M. E. ; Freddi, L. ; Stepanov, E. / Homogenization of optimal control problems for functional differential equations. In: Journal of Optimization Theory and Applications. 1997 ; Vol. 93, No. 1. pp. 103-119.

BibTeX

@article{428814b90979406bb8a387127e923d4a,

title = "Homogenization of optimal control problems for functional differential equations",

abstract = "The paper deals with the variational convergence of a sequence of optimal control problems for functional differential state equations with deviating argument. Variational limit problems are found under various conditions of convergence of the input data. It is shown that, upon sufficiently weak assumptions on convergence of the argument deviations, the limit problem can assume a form different from that of the whole sequence. In particular, it can be either an optimal control problem for an integro-differential equation or a purely variational problem. Conditions are found under which the limit problem preserves the form of the original sequence.",

keywords = "Functional differential equations, Optimal control, Variational convergence",

author = "G. Buttazzo and Drakhlin, {M. E.} and L. Freddi and E. Stepanov",

year = "1997",

month = apr,

doi = "10.1023/A:1022649817825",

language = "English",

volume = "93",

pages = "103--119",

journal = "Journal of Optimization Theory and Applications",

issn = "0022-3239",

publisher = "Springer Nature",

number = "1",

}

RIS

TY - JOUR

T1 - Homogenization of optimal control problems for functional differential equations

AU - Buttazzo, G.

AU - Drakhlin, M. E.

AU - Freddi, L.

AU - Stepanov, E.

PY - 1997/4

Y1 - 1997/4

N2 - The paper deals with the variational convergence of a sequence of optimal control problems for functional differential state equations with deviating argument. Variational limit problems are found under various conditions of convergence of the input data. It is shown that, upon sufficiently weak assumptions on convergence of the argument deviations, the limit problem can assume a form different from that of the whole sequence. In particular, it can be either an optimal control problem for an integro-differential equation or a purely variational problem. Conditions are found under which the limit problem preserves the form of the original sequence.

AB - The paper deals with the variational convergence of a sequence of optimal control problems for functional differential state equations with deviating argument. Variational limit problems are found under various conditions of convergence of the input data. It is shown that, upon sufficiently weak assumptions on convergence of the argument deviations, the limit problem can assume a form different from that of the whole sequence. In particular, it can be either an optimal control problem for an integro-differential equation or a purely variational problem. Conditions are found under which the limit problem preserves the form of the original sequence.

KW - Functional differential equations

KW - Optimal control

KW - Variational convergence

UR - http://www.scopus.com/inward/record.url?scp=0039327503&partnerID=8YFLogxK

U2 - 10.1023/A:1022649817825

DO - 10.1023/A:1022649817825

M3 - Article

AN - SCOPUS:0039327503

VL - 93

SP - 103

EP - 119

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

SN - 0022-3239

IS - 1

ER -

ID: 53713500