Premium
Infinite Dimensional Parametric Optimal Control Problems
Author(s) -
Aizicovici Sergiu,
Papageorgiou Nikolaos S.
Publication year - 1993
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19931620103
Subject(s) - mathematics , parametric statistics , optimal control , nonlinear system , operator (biology) , control (management) , work (physics) , value (mathematics) , initial value problem , mathematical optimization , control theory (sociology) , mathematical analysis , computer science , statistics , mechanical engineering , biochemistry , physics , chemistry , repressor , quantum mechanics , artificial intelligence , transcription factor , engineering , gene
In this paper we study parametric optimal control problems monitored by nonlinear evolution equations. The parameter appears in all the data, including the nonlinear operator. First we show that for every value of the parameter, the optimal control problem has a solution. Then we study how these solutions as well as the value of the problem respond to changes in the parameter. Finally, we work out in detail two examples of nonlinear parabolic optimal control systems.