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A Stability Theorem for Constrained Optimal Control Problems
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@Article{JCM-22-633,
author = {},
title = {A Stability Theorem for Constrained Optimal Control Problems},
journal = {Journal of Computational Mathematics},
year = {2004},
volume = {22},
number = {5},
pages = {633--640},
abstract = { This paper presents the stability of difference approximations of an optimal control problem for a quasilinear parabolic equation with controls in the coefficients, boundary conditions and additional restrictions. The optimal control problem has been convered to one of the optimization problem using a penalty function technique. The difference ap- proximations problem for the considered problem is obtained. The estimations of stability of the solution of difference approximations problem are proved. The stability estimation of the solution of difference approximations problem by the controls is obtained. },
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8862.html}
}
TY - JOUR
T1 - A Stability Theorem for Constrained Optimal Control Problems
JO - Journal of Computational Mathematics
VL - 5
SP - 633
EP - 640
PY - 2004
DA - 2004/10
SN - 22
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8862.html
KW - Optimal control
KW - Quasilinear Parabolic equations
KW - Penalty function methods
KW - Finite difference method
KW - Stability estimations
AB - This paper presents the stability of difference approximations of an optimal control problem for a quasilinear parabolic equation with controls in the coefficients, boundary conditions and additional restrictions. The optimal control problem has been convered to one of the optimization problem using a penalty function technique. The difference ap- proximations problem for the considered problem is obtained. The estimations of stability of the solution of difference approximations problem are proved. The stability estimation of the solution of difference approximations problem by the controls is obtained.
M. H. Farag . (1970). A Stability Theorem for Constrained Optimal Control Problems.
Journal of Computational Mathematics. 22 (5).
633-640.
doi:
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