Solvability of the Quaternary Continuous Classical Boundary Optimal Control Dominated by Quaternary Parabolic System

Autor:	Jamil A. Ali Al-Hawasy, Fetan J. Naji
Jazyk:	Arabic<br />English
Rok vydání:	2024
Předmět:	Adjoint Eqs. Constraint Continue Classical Optimal Control Vector Necessary Conditions Quaternary Nonlinear Parabolic System Sufficient Condition The Fréchet Derivative Science
Zdroj:	Baghdad Science Journal, Vol 21, Iss 6 (2024)
Druh dokumentu:	article
ISSN:	2078-8665 2411-7986
DOI:	10.21123/bsj.2023.8690
Popis:	The purpose of this paper is to study the solvability of the quaternary continuous classical boundary optimal control vector problem dominated by quaternary nonlinear parabolic boundary value problem with state constraints. The existence theorem for a quaternary continuous classical boundary optimal control vector with equality and inequality state constraints is stated and demonstrated under suitable assumptions. The mathematical formulation of the quaternary adjoint eqs. associated with the quaternary nonlinear parabolic boundary value problem with state constraints is discovered. The Fréchet derivative of the cost function and the constraints functions are derived. The necessary and sufficient theorems (conditions) for optimality of the quaternary continuous classical boundary optimal control vector problem are stated and demonstrated under suitable assumptions.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/c0534696e1ed4a7d8076800795489c2c Zobrazit plný text záznamu View record in DOAJ