The continuous classical optimal control problems for triple nonlinear elliptic boundary value problem
Joint Authors
Jasim, Dua Katib
al-Hawasy, Jamil A. Ali
Source
Ibn al-Haitham Journal for Pure and Applied Science
Issue
Vol. 33, Issue 3 (31 Dec. 2020), pp.101-112, 12 p.
Publisher
University of Baghdad College of Education for Pure Science / Ibn al-Haitham
Publication Date
2020-12-31
Country of Publication
Iraq
No. of Pages
12
Main Subjects
Topics
Abstract EN
In this research, our aim is to study the optimal control problem (OCP) for triple nonlinear elliptic boundary value problem (TNLEBVP).
The Mint-Browder theorem is used to prove the existence and uniqueness theorem of the solution of the state vector for fixed control vector.
The existence theorem for the triple continuous classical optimal control vector (TCCOCV) related to the TNLEBVP is also proved.
After studying the existence of a unique solution for the triple adjoint equations (TAEqs) related to the triple of the state equations, we derive The Fréchet derivative (FD) of the cost function using Hamiltonian function.
Then the theorems of necessity conditions and the sufficient condition for optimality of the constraints problem are proved.
American Psychological Association (APA)
al-Hawasy, Jamil A. Ali& Jasim, Dua Katib. 2020. The continuous classical optimal control problems for triple nonlinear elliptic boundary value problem. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 33, no. 3, pp.101-112.
https://search.emarefa.net/detail/BIM-973782
Modern Language Association (MLA)
al-Hawasy, Jamil A. Ali& Jasim, Dua Katib. The continuous classical optimal control problems for triple nonlinear elliptic boundary value problem. Ibn al-Haitham Journal for Pure and Applied Science Vol. 33, no. 3 (2020), pp.101-112.
https://search.emarefa.net/detail/BIM-973782
American Medical Association (AMA)
al-Hawasy, Jamil A. Ali& Jasim, Dua Katib. The continuous classical optimal control problems for triple nonlinear elliptic boundary value problem. Ibn al-Haitham Journal for Pure and Applied Science. 2020. Vol. 33, no. 3, pp.101-112.
https://search.emarefa.net/detail/BIM-973782
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 111-112
Record ID
BIM-973782