Optimal control of discrete and differential inclusions with distributed parameters in the gradient form

E. N. Mahmudov; M. E. Unal

doi:10.1007/s10883-012-9135-6

Optimal control of discrete and differential inclusions with distributed parameters in the gradient form

E. N. Mahmudov^*
, M. E. Unal

^*Corresponding author for this work

Department of Mathematics Engineering

Istanbul Technical University

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

7 Citations (Scopus)

Abstract

This paper is devoted to optimization of so-called first-order differential (P _C ) inclusions in the gradient form on a square domain. As a supplementary problem, discrete-approximation problem (P _A ) is considered. In the Euler-Lagrange form, necessary and sufficient conditions are derived for the problems (P _A ) and partial differential inclusions (P _C ), respectively. The results obtained are based on a new concept of locally adjoint mappings. The duality theorems are proved and duality relation is established.

Original language	English
Pages (from-to)	83-101
Number of pages	19
Journal	Journal of Dynamical and Control Systems
Volume	18
Issue number	1
DOIs	https://doi.org/10.1007/s10883-012-9135-6
Publication status	Published - Jan 2012

Keywords

discrete and differential inclusions
discrete approximation
duality theorems
Locally adjoint mappings
necessary and sufficient conditions

Access to Document

10.1007/s10883-012-9135-6

Cite this

@article{6744eadde85443b1adbf53013b4b98fb,

title = "Optimal control of discrete and differential inclusions with distributed parameters in the gradient form",

abstract = "This paper is devoted to optimization of so-called first-order differential (P C ) inclusions in the gradient form on a square domain. As a supplementary problem, discrete-approximation problem (P A ) is considered. In the Euler-Lagrange form, necessary and sufficient conditions are derived for the problems (P A ) and partial differential inclusions (P C ), respectively. The results obtained are based on a new concept of locally adjoint mappings. The duality theorems are proved and duality relation is established.",

keywords = "discrete and differential inclusions, discrete approximation, duality theorems, Locally adjoint mappings, necessary and sufficient conditions",

author = "Mahmudov, \{E. N.\} and Unal, \{M. E.\}",

year = "2012",

month = jan,

doi = "10.1007/s10883-012-9135-6",

language = "English",

volume = "18",

pages = "83--101",

journal = "Journal of Dynamical and Control Systems",

issn = "1079-2724",

number = "1",

}

TY - JOUR

T1 - Optimal control of discrete and differential inclusions with distributed parameters in the gradient form

AU - Mahmudov, E. N.

AU - Unal, M. E.

PY - 2012/1

Y1 - 2012/1

N2 - This paper is devoted to optimization of so-called first-order differential (P C ) inclusions in the gradient form on a square domain. As a supplementary problem, discrete-approximation problem (P A ) is considered. In the Euler-Lagrange form, necessary and sufficient conditions are derived for the problems (P A ) and partial differential inclusions (P C ), respectively. The results obtained are based on a new concept of locally adjoint mappings. The duality theorems are proved and duality relation is established.

AB - This paper is devoted to optimization of so-called first-order differential (P C ) inclusions in the gradient form on a square domain. As a supplementary problem, discrete-approximation problem (P A ) is considered. In the Euler-Lagrange form, necessary and sufficient conditions are derived for the problems (P A ) and partial differential inclusions (P C ), respectively. The results obtained are based on a new concept of locally adjoint mappings. The duality theorems are proved and duality relation is established.

KW - discrete and differential inclusions

KW - discrete approximation

KW - duality theorems

KW - Locally adjoint mappings

KW - necessary and sufficient conditions

UR - https://www.scopus.com/pages/publications/84859430361

U2 - 10.1007/s10883-012-9135-6

DO - 10.1007/s10883-012-9135-6

M3 - Article

AN - SCOPUS:84859430361

SN - 1079-2724

VL - 18

SP - 83

EP - 101

JO - Journal of Dynamical and Control Systems

JF - Journal of Dynamical and Control Systems

IS - 1

ER -

Optimal control of discrete and differential inclusions with distributed parameters in the gradient form

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this