图书馆订阅: Guest
Begell Digital Portal Begell 数字图书馆 电子图书 期刊 参考文献及会议录 研究收集
自动化与信息科学期刊
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN 打印: 1064-2315
ISSN 在线: 2163-9337

卷:
卷 52, 2020 卷 51, 2019 卷 50, 2018 卷 49, 2017 卷 48, 2016 卷 47, 2015 卷 46, 2014 卷 45, 2013 卷 44, 2012 卷 43, 2011 卷 42, 2010 卷 41, 2009 卷 40, 2008 卷 39, 2007 卷 38, 2006 卷 37, 2005 卷 36, 2004 卷 35, 2003 卷 34, 2002 卷 33, 2001 卷 32, 2000 卷 31, 1999 卷 30, 1998 卷 29, 1997 卷 28, 1996

自动化与信息科学期刊

DOI: 10.1615/JAutomatInfScien.v29.i4-5.100
pages 99-114

Homogenization of Optimal Control Problems of Coefficients of Linear Elliptic Equations

A. I. Egorov
Dnepropetrovsk State Technological University of Rail Transport, Dnepropetrovsk
R. I. Korgut
Dnepropetrovsk State Technological University of Rail Transport, Dnepropetrovsk

ABSTRACT

The optimal control problem for a linear elliptic equation is considered in which the factor in the rapidly oscillating coefficients of the principal operator of this equation serves as the control function. For such problems, an existence theorem of optimal solutions is proved, necessary optimality conditions are presented, and the structure of the homogenized optimal control problem is revealed.


Articles with similar content:

On Optimal Control Problem of Elliptical Equation Coefficients with Integral Qualitative Criterion Along the Domain Boundary
Journal of Automation and Information Sciences, Vol.48, 2016, issue 12
Rena Sattar kyzy Kasymova , Rafig Kalandar ogly Tagiyev
Matrix Integro-Differential Riccati Equation for Parabolic System
Journal of Automation and Information Sciences, Vol.46, 2014, issue 1
Miroslav M. Kopets
Robust Stability of Discrete Control Systems
Journal of Automation and Information Sciences, Vol.36, 2004, issue 7
Vsevolod M. Kuntsevich
Averaging in Problems of Optimal Control for Systems with Fast and Slow Variables
Journal of Automation and Information Sciences, Vol.33, 2001, issue 2
Irina A. Boitsova, Victor A. Plotnikov
Sweep Algorithm for Solving Discrete Optimal Control Problems with Three-point Boundary Conditions
Journal of Automation and Information Sciences, Vol.40, 2008, issue 7
Mutallim Mirzaakhmed ogly Mutallimov, Rena Takhir kyzy Zulfugarova, Fikret Akhmed Ali Ogly Aliev