Open AccessSolvability of optimization problem for the oscillation processes with optimal vector controls
Author(s) -
Elmira Abdyldaeva,
Акылбек Керимбеков
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1905369a
Subject(s) - mathematics , optimal control , oscillation (cell signaling) , nonlinear system , operator (biology) , boundary value problem , optimization problem , optimality criterion , mathematical analysis , mathematical optimization , control theory (sociology) , control (management) , biochemistry , chemistry , genetics , physics , repressor , quantum mechanics , gene , transcription factor , biology , management , economics
The optimal control problem is investigated for oscillation processes, described by integrodifferential equations with the Fredholm operator when functions of external and boundary sources nonlinearly depend on components of optimal vector controls. Optimality conditions having specific properties in the case of vector controls were found. A sufficient condition is established for unique solvability of the nonlinear optimization problem and its complete solution is constructed in the form of optimal control, an optimal process, and a minimum value of the functional.