The continuous classical boundary optimal control of couple nonlinear hyperbolic boundary value problem with equality and inequality constraints
Other Title(s)
مسألة السيطرة الأمثلية الحدودية التقليدية من النمط المستمر لزوج من المعادلات التفاضلية الجزئية غير الخطية من النمط الزائدي بوجود قيدي التساوي و التباين
Author
Source
Issue
Vol. 16, Issue 4 (sup) (31 Dec. 2019), pp.1064-1074, 11 p.
Publisher
University of Baghdad College of Science for Women
Publication Date
2019-12-31
Country of Publication
Iraq
No. of Pages
11
Main Subjects
Abstract EN
The paper is concerned with the state and proof of the existence theorem of a unique solution (state vector) of couple nonlinear hyperbolic equations (CNLHEQS) via the Galerkin method (GM) with the Aubin theorem.
When the continuous classical boundary control vector (CCBCV) is known, the theorem of existence a CCBOCV with equality and inequality state vector constraints (EIESVC) is stated and proved, the existence theorem of a unique solution of the adjoint couple equations (ADCEQS) associated with the state equations is studied.
The Frcéhet derivative derivation of the "Hamiltonian" is obtained.
Finally the necessary theorem (necessary conditions "NCs") and the sufficient theorem (sufficient conditions" SCs") for optimality of the state constrained problem are stated and proved.
American Psychological Association (APA)
al-Hawwasi, Jamil Amir Ali. 2019. The continuous classical boundary optimal control of couple nonlinear hyperbolic boundary value problem with equality and inequality constraints. Baghdad Science Journal،Vol. 16, no. 4 (sup), pp.1064-1074.
https://search.emarefa.net/detail/BIM-935408
Modern Language Association (MLA)
al-Hawwasi, Jamil Amir Ali. The continuous classical boundary optimal control of couple nonlinear hyperbolic boundary value problem with equality and inequality constraints. Baghdad Science Journal Vol. 16, no. 4 (Supplement) (2019), pp.1064-1074.
https://search.emarefa.net/detail/BIM-935408
American Medical Association (AMA)
al-Hawwasi, Jamil Amir Ali. The continuous classical boundary optimal control of couple nonlinear hyperbolic boundary value problem with equality and inequality constraints. Baghdad Science Journal. 2019. Vol. 16, no. 4 (sup), pp.1064-1074.
https://search.emarefa.net/detail/BIM-935408
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 1073
Record ID
BIM-935408