Classical Continuous Constraint Boundary Optimal Control Vector Problem for Triple Nonlinear Parabolic System
In this paper, our purpose is to study the classical continuous constraints boundary optimal triple control vector problem dominating nonlinear triple parabolic boundary value problem. The existence theorem for a classical continuous triple optimal control vector CCCBOTCV is stated and proved under...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | Arabic |
| Published: |
Al-Mustansiriyah University
2023-06-01
|
| Series: | Mustansiriyah Journal of Science |
| Subjects: | |
| Online Access: | https://mjs.uomustansiriyah.edu.iq/index.php/MJS/article/view/1272 |
| _version_ | 1797789470415650816 |
|---|---|
| author | Yasameen H. Rashid Jamil A. Ali Al-Hawasy Ion Chryssoverghi |
| author_facet | Yasameen H. Rashid Jamil A. Ali Al-Hawasy Ion Chryssoverghi |
| author_sort | Yasameen H. Rashid |
| collection | DOAJ |
| description |
In this paper, our purpose is to study the classical continuous constraints boundary optimal triple control vector problem dominating nonlinear triple parabolic boundary value problem. The existence theorem for a classical continuous triple optimal control vector CCCBOTCV is stated and proved under suitable assumptions. The mathematical formulation of the adjoint triple boundary value problem associated with the nonlinear triple parabolic boundary value problem is discovered. The Fréchet derivative of the Hamiltonian is derived. Under proper assumptions, both theorems are granted; the necessary conditions for optimality and the sufficient conditions for optimality of the classical continuous constraints boundary optimal triple control vector problem are stated and proven.
|
| first_indexed | 2024-03-13T01:51:07Z |
| format | Article |
| id | doaj.art-05f8d01cb7dd4f73aa16296944397116 |
| institution | Directory Open Access Journal |
| issn | 1814-635X 2521-3520 |
| language | Arabic |
| last_indexed | 2024-03-13T01:51:07Z |
| publishDate | 2023-06-01 |
| publisher | Al-Mustansiriyah University |
| record_format | Article |
| series | Mustansiriyah Journal of Science |
| spelling | doaj.art-05f8d01cb7dd4f73aa162969443971162023-07-02T13:45:23ZaraAl-Mustansiriyah UniversityMustansiriyah Journal of Science1814-635X2521-35202023-06-0134210.23851/mjs.v34i2.1272Classical Continuous Constraint Boundary Optimal Control Vector Problem for Triple Nonlinear Parabolic SystemYasameen H. Rashid0Jamil A. Ali Al-Hawasy1Ion Chryssoverghi2Department of Mathematics, College of Science, Mustansiriyah University, 10052 Baghdad, IRAQ.Department of Mathematics, College of Science, Mustansiriyah University, 10052 Baghdad, IRAQ.Department of Mathematics, School of Applied mathematical and Physical Sciences, National Technical University of Athens, Athens, Greece. In this paper, our purpose is to study the classical continuous constraints boundary optimal triple control vector problem dominating nonlinear triple parabolic boundary value problem. The existence theorem for a classical continuous triple optimal control vector CCCBOTCV is stated and proved under suitable assumptions. The mathematical formulation of the adjoint triple boundary value problem associated with the nonlinear triple parabolic boundary value problem is discovered. The Fréchet derivative of the Hamiltonian is derived. Under proper assumptions, both theorems are granted; the necessary conditions for optimality and the sufficient conditions for optimality of the classical continuous constraints boundary optimal triple control vector problem are stated and proven. https://mjs.uomustansiriyah.edu.iq/index.php/MJS/article/view/1272Classical Constraints Boundary Optimal Triple ControlNonlinear Triple Parabolic Boundary Value ProblemNecessary and Sufficient Optimality Conditions |
| spellingShingle | Yasameen H. Rashid Jamil A. Ali Al-Hawasy Ion Chryssoverghi Classical Continuous Constraint Boundary Optimal Control Vector Problem for Triple Nonlinear Parabolic System Mustansiriyah Journal of Science Classical Constraints Boundary Optimal Triple Control Nonlinear Triple Parabolic Boundary Value Problem Necessary and Sufficient Optimality Conditions |
| title | Classical Continuous Constraint Boundary Optimal Control Vector Problem for Triple Nonlinear Parabolic System |
| title_full | Classical Continuous Constraint Boundary Optimal Control Vector Problem for Triple Nonlinear Parabolic System |
| title_fullStr | Classical Continuous Constraint Boundary Optimal Control Vector Problem for Triple Nonlinear Parabolic System |
| title_full_unstemmed | Classical Continuous Constraint Boundary Optimal Control Vector Problem for Triple Nonlinear Parabolic System |
| title_short | Classical Continuous Constraint Boundary Optimal Control Vector Problem for Triple Nonlinear Parabolic System |
| title_sort | classical continuous constraint boundary optimal control vector problem for triple nonlinear parabolic system |
| topic | Classical Constraints Boundary Optimal Triple Control Nonlinear Triple Parabolic Boundary Value Problem Necessary and Sufficient Optimality Conditions |
| url | https://mjs.uomustansiriyah.edu.iq/index.php/MJS/article/view/1272 |
| work_keys_str_mv | AT yasameenhrashid classicalcontinuousconstraintboundaryoptimalcontrolvectorproblemfortriplenonlinearparabolicsystem AT jamilaalialhawasy classicalcontinuousconstraintboundaryoptimalcontrolvectorproblemfortriplenonlinearparabolicsystem AT ionchryssoverghi classicalcontinuousconstraintboundaryoptimalcontrolvectorproblemfortriplenonlinearparabolicsystem |