West Asia Mathematical Schools
19th – 29th Dec., 2018
Entitled:
Control and Optimization with Industrial Applications
Date and place of the school
Date: 19-29December 2018
Place: Department of mathematics, College of Sciences, Salahaddin University-Erbil, Erbil, Kurdistan-Iraq.
sponsored by
Please note that the certificate or/and support letter will be provided only for the participants who will attend more than 80% of the workshop sessions.
Coordinators
- Abdeljalil Nachaoui, Laboratoire de Mathématiques-Jean Leray, Universit de Nantes, France
E-mail : Abdeljalil.Nachaoui@univ-nantes.fr
- Fatima M. Aboud, Department of mathematics, College of Sciences, University of Diyala.
E-mail : Fatima.Aboud@sciences.uodiyala.edu.iq
Lecturers
- Abdeljalil Nachaoui, Laboratoire de Mathematiques Jean Leray, University of Nantes, France ( ).
- Jaroslaw Wozniak, University of Szczecin, Szczecin, Poland, (wozniak@univ.szczecin.pl).
- Fatima M. Aboud, Department of mathematics, College of Sciences, University of Diyala, Iraq ( ) .
- Radhi Ali Zaboon, Department of mathematics, College of Sciences, University of AlMostansriya, Iraq (radhi_maths@yahoo.com ) .
- Mourad Nachaoui, Department of Mathematics, University of Sultan Moulay Sliman Beni Mellal, Morocco ( Mourad.Nachaoui@univ-nantes.fr )
Scientific committee
- Abdeljalil Nachaoui, Laboratoire de Mathe?matiques Jean Leray, University de Nantes, France ( ).
- Jaroslaw Wosniak, University of Szczecin, Szczecin, Poland, (wozniak@univ.szczecin.pl).
- Tamaz Tadumdaze (Institute of Applied Mathematics, Tbilisi State University, Tbilisi,Georgia),
Local Organizing committee
Director: Dr Herish Omer, College of Sciences, department of Mathematics, Salahaddin University-Erbil (herish_omer69@yahoo.com)
Co-chair : Dr Rostam Karim Saeed, College of Sciences, department of Mathematics, Salahaddin University-Erbil (rostam.saeed@su.edu.krd).
Member : Dr Wuria Xoshnaw, Head of the Mathematics Department, College of Science, Salahaddin University-Erbil (wuriaxoshnaw@gmail.com).
Member : Dr. Hero Waisi Salih, College of Sciences, Mathematics Department, College of Science, Salahaddin University-Erbil ( hero.salih@su.edu.krd).
Member: Miss Evar Lutfalla Sadraddin, Mathematics Department, College of Science, Salahaddin University-Erbil ( evar.sadraddin@su.edu.krd).
Member: .Miss Evan Swara Suleman, Mathematics Department, College of Science, Salahaddin University-Erbil
Member: Mahammed AM Rasheed, Mathematics Department, College of Science, Kirkuk University ( mamohammedr@ualr.edu.iq).
The School Program
| Date | Wednesday: 19 Dec 2018 | No of hours |
| 9:00-10:30 | Abdeljalil Nachaoui, Introduction and motivations: : examples from industry | 1h30 |
| 10:30-11:00 | Break | |
| 11:00-12:30 | Abdeljalil Nachaoui, Optimisation : state of the art | 1h30 |
| 12:30-14:00 | Lunch | |
| 14:00-16:00 | Fatima Aboud, A review of differential calculus | 2h |
| Date | Thursday: 20 Dec 2018 | No of hours |
| 9:00-10:30 | Fatima Aboud, Convex analysis | 1h30 |
| 10:30-11:00 | Break | |
| 11:00-12:30 | Abdeljalil Nachaoui, Existence and uniqueness of a minimum point | 1h30 |
| 12:30-14:00 | Lunch | |
| 14:00-16:00 | Mourad Nachaoui, Mathematical Programming | 2h |
| Date | Friday: 21 Dec 2018 | No of hours |
| 8:30-10:00 | Mourad Nachaoui, Mathematical Programming | 1h30 |
| 10:00-10:30 | Break | |
| 10:30-12:00 | Fatima Aboud, Basic function spaces | 1h30 |
| 12:00-14:00 | Lunch | |
| 14:00-16:00 | Free time | 2h |
| Date | Saturday: 22 Dec 2018 | No of hours |
| 8:30-10:00 | Fatima Aboud, Hilbert spaces | 1h30 |
| 10:00-10:30 | Break | |
| 10:30-12:00 | Fatima Aboud, Distributions | 1h30 |
| 12:00-14:00 | Lunch | |
| 14:00-16:00 | Mourad Nachaoui, Mathematical Programming/ practical works | 2h |
| Date | Sunday: 23 Dec 2018 | No of hours |
| 9:00-10:30 | Radhi A. Zaboon, Basic calculus of variation, | 1h30 |
| 10:30-11:00 | Break | |
| 11:00-12:30 | Radhi A. Zaboon, Calculus of Variations and Optimal Control | 1h30 |
| 12:30-14:00 | Lunch | |
| 14:00-16:00 | Abdeljalil Nachaoui, Mathematical models and Delay optimal control | 2h |
| Date | Monday: 24 Dec 2018 | No of hours |
| 9:00-10:30 | Abdeljalil Nachaoui, Delay optimal control problems with non-fixed initial moment | 1h30 |
| 10:30-11:00 | Break | |
| 11:00-12:30 | Radhi A. Zaboon, Controllability, Observability and Stability | 1h30 |
| 12:30-14:00 | Lunch | |
| 14:00-16:00 | Radhi A. Zaboon, Controllability, Observability and Stability | 2h |
| Date | Tuesday: 25 Dec 2018 | No of hours |
| Free day | ||
| Date | Wednesday: 26 Dec 2018 | No of hours |
| 9:00-10:30 | Jaros?aw Woz?niak, Semigroups of operators | 1h30 |
| 10:30-11:00 | Break | |
| 11:00-12:30 | Jaros?aw Woz?niak, Controllability of infinite dimensional systems | 1h30 |
| 12:30-14:00 | Lunch | |
| 14:00-16:00 | Abdeljalil Nachaoui, Delay optimal control problems numerical methods/practical works | 2h |
| Date | Thursday: 27 Dec 2018 | No of hours |
| 9:00-10:30 | Jaros?aw Woz?niak, Stability of infinite dimensional systems | 1h30 |
| 10:30-11:00 | Break | |
| 11:00-12:30 | Abdeljalil Nachaoui, Shape optimisation as part of the optimal control theory | 1h30 |
| 12:30-14:00 | Lunch | |
| 14:00-16:00 | Abdeljalil Nachaoui, Shape optimisation as part of the optimal control theory | 2h |
| 16:00-16:30 | Break | |
| 16:30:18:30 | Abdeljalil Nachaoui/Mourad Nachaoui, Numerical methods/practical works | |
| Date | Friday: 28 Dec 2018 | No of hours |
| 8:30-10:00 | Jaros?aw Woz?niak, Stability of infinite dimensional systems | 1h30 |
| 10:00-10:30 | Break | |
| 10:30-12:00 | Abdeljalil Nachaoui/Mourad Nachaoui, Numerical methods/practical works | 1h30 |
| 12:00-14:00 | Lunch | |
| 14:00-16:00 | Free time | 2h |
| Date | Saturday: 29 Dec 2018 | No of hours |
| 8:30-10:00 | Abdeljalil Nachaoui/Mourad Nachaoui, Numerical methods/practical works | 1h30 |
| 10:00-10:30 | Break | |
| 10:30-12:00 | Round tables, discussions | 1h30 |
| 12:00-14:00 | Lunch | |
| 14:00-16:00 | Closure | 2h |
List of Participants
| # | Name | University | |
| 1 | Evar Lutfalla Sadraddin | evar.sadraddin@su.edu.krd | Salahaddin University-Erbil |
| 2 | Dalya Abdullah Anwar | dalya.anwar@su.edu.krd | Salahaddin University-Erbil |
| 3 | Abdullah Muhammed Abdul-Jabbar | abdullah.abduljabbar@su.edu.krd | Salahaddin University-Erbil |
| 4 | Waleed Hussain Aziz | waleed.aziz@su.edu.krd | Salahaddin University-Erbil |
| 5 | Hazha Zirar Hussain | hazha.hussain@su.edu.krd | Salahaddin University-Erbil |
| 6 | Zozan omer ismail | zozanbaboky@yahoo.com | Salahaddin University-Erbil |
| 7 | Neshtiman N. Sulaiman | neshtiman.suliman@su.edu.krd | Salahaddin University-Erbil |
| 8 | Hero Waisi Salih | hero.salih@su.edu.krd | Salahaddin University-Erbil |
| 9 | Namam Jalal Mahmoud | namam.jalal@yahoo.com | Salahaddin University-Erbil |
| 10 | Awreng Biaz Mahmood | awreng.mahmood@su.edu.krd | Salahaddin University-Erbil |
| 11 | Khwazbeen Saida Fatah | khwazbeen.fatah@su.edu.krd | Salahaddin University-Erbil |
| 12 | Chiman Muhammad Qadir | chiman.qadir@su.edu.krd | Salahaddin University-Erbil |
| 13 | Rostam Kareem Saeed | rostam.saeed@su.edu.krd | Salahaddin University-Erbil |
| 14 | Gashaw Aziz Mohammedf-Saleh | gashaw.mohammed@su.edu.krd | Salahaddin University-Erbil |
| 15 | Bahar Obed Ali | bahar.ali@su.edu.krd | Salahaddin University-Erbil |
| 16 | Payman Abbas Rashed | payman.rashed@su.edu.krd | Salahaddin University-Erbil |
| 17 | Lana Lateef Nahmatwlla | lana.nahmatwlla@su.edu.krd | Salahaddin University-Erbil |
| 18 | Hero Muhamad Sulaiman | hero.sulaiman@su.edu.krd | Salahaddin University-Erbil |
| 19 | Awreng Baiz Mahmood | awreng.mahmood@su.edu.krd | Salahaddin University-Erbil |
| 20 | Zhian Ibrahim Omar | zhyani83@yahoo.com | Erbil polytechnic university |
| 21 | Farah Jawad | farahjawad80@gmail.com | Almustansriyah |
| 22 | Hardi Ali Shareef | hardy.shareef@univsul.edu.iq | University of Sulaimani |
| 23 | Mohammed Kadhim Mohsin Almamoori | mkmam1985@gmail.com | Kufa University |
| 24 | Ali Delphi | alimathdelphi@yahoo.com | Missan University |
| 25 | RONAK MOHAMMED SAEED ISMAEL | saeed.runak@yahoo.com | Kirkuk University |
| 26 | Huda Al-mashadani | hudakmash@yahoo.com | University Of Ninevah |
| 27 | Samer kasim hasan | dr.sameer_kasim@yahoo.com | Almustansriyah |
| 28 | Sarkesh khalid ridha | sar_kha_red@yahoo.com | Kirkuk University |
| 29 | Sawsan Sami | sawsan.sami14@yahoo.com | University of Mosul |
| 30 | Amir Abdulillah Mohammed | amirabdulillah64@gmail.com | University of Mosul |
| 31 | Alaa Abdulraheem Ahmed Hamoodat | hammodat2002@yahoo.com | University of Mosul |
| 32 | AZZAM SALAHUDDIN YOUNUS ALADOOL | math.azzam@yahoo.com | University of Mosul |
| 33 | Mrs Nebghouha Mohamed Taleb | mohamed.nebghouha@yahoo.com | Cheikh Anta Diop University-Dakar |
| 34 | Amjad Alipanah | a.alipanah@uok.ac.ir | University of Kurdistan-Iran |
Description of Schools
Abstract: Optimal control is concerned with control laws that maximize a specified measure of a dynamical system’s performance. This course is a rigorous introduction to the classical theory of optimal control. The topics covered in this course include optimization, the calculus of variations, Pontryagin’s principle, dynamic programming, linear quadratic optimal control, delay differential equation, shape optimisation.
Optimal control problems are generally nonlinear and therefore, generally do not have analytic solutions (e.g., like the linear-quadratic optimal control problem). As a result, it is necessary to employ numerical methods to solve optimal control problems. We describe techniques used to approach these classes of problems
Description of Course
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