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 : [email protected]

• Fatima M. Aboud, Department of mathematics, College of Sciences, University of Diyala.

 E-mail : [email protected]

 

Lecturers

• Abdeljalil Nachaoui, Laboratoire de Mathematiques Jean Leray, University of Nantes, France (   ). 
• Jaroslaw Wozniak, University of Szczecin, Szczecin, Poland, ([email protected]).
• 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 ([email protected]  ) .
• Mourad Nachaoui, Department of Mathematics, University of Sultan Moulay Sliman Beni Mellal, Morocco ( [email protected] )

Scientific committee

• Abdeljalil Nachaoui, Laboratoire de Mathe?matiques Jean Leray, University de Nantes, France ( ).
• Jaroslaw Wosniak, University of Szczecin, Szczecin, Poland, ([email protected]).
• 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 ([email protected])  

                                                                

Co-chair : Dr Rostam Karim Saeed, College of Sciences, department of Mathematics, Salahaddin University-Erbil  ([email protected]).

Member : Dr Wuria Xoshnaw, Head of the Mathematics Department, College of Science, Salahaddin University-Erbil ([email protected]).

Member : Dr. Hero Waisi Salih, College of Sciences, Mathematics Department, College of Science, Salahaddin University-Erbil ( [email protected]).

Member: Miss Evar Lutfalla Sadraddin, Mathematics Department, College of Science, Salahaddin University-Erbil ( [email protected]). 

 

Member: .Miss Evan Swara Suleman, Mathematics Department, College of Science, Salahaddin University-Erbil

Member: Mahammed AM Rasheed, Mathematics Department, College of Science, Kirkuk University ( [email protected]).  

  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	Email	University
1	Evar Lutfalla Sadraddin	[email protected]	Salahaddin University-Erbil
2	Dalya Abdullah Anwar	[email protected]	Salahaddin University-Erbil
3	Abdullah Muhammed Abdul-Jabbar	[email protected]	Salahaddin University-Erbil
4	Waleed Hussain Aziz	[email protected]	Salahaddin University-Erbil
5	Hazha Zirar Hussain	[email protected]	Salahaddin University-Erbil
6	Zozan omer ismail	[email protected]	Salahaddin University-Erbil
7	Neshtiman N. Sulaiman	[email protected]	Salahaddin University-Erbil
8	Hero Waisi Salih	[email protected]	Salahaddin University-Erbil
9	Namam Jalal Mahmoud	[email protected]	Salahaddin University-Erbil
10	Awreng Biaz Mahmood	[email protected]	Salahaddin University-Erbil
11	Khwazbeen Saida Fatah	[email protected]	Salahaddin University-Erbil
12	Chiman Muhammad Qadir	[email protected]	Salahaddin University-Erbil
13	Rostam Kareem Saeed	[email protected]	Salahaddin University-Erbil
14	Gashaw Aziz Mohammedf-Saleh	[email protected]	Salahaddin University-Erbil
15	Bahar Obed Ali	[email protected]	Salahaddin University-Erbil
16	Payman Abbas Rashed	[email protected]	Salahaddin University-Erbil
17	Lana Lateef Nahmatwlla	[email protected]	Salahaddin University-Erbil
18	Hero Muhamad Sulaiman	[email protected]	Salahaddin University-Erbil
19	Awreng Baiz Mahmood	[email protected]	Salahaddin University-Erbil
20	Zhian Ibrahim Omar	[email protected]	Erbil polytechnic university
21	Farah Jawad	[email protected]	Almustansriyah
22	Hardi Ali Shareef	[email protected]	University of Sulaimani
23	Mohammed Kadhim Mohsin Almamoori	[email protected]	Kufa University
24	Ali Delphi	[email protected]	Missan University
25	RONAK MOHAMMED SAEED ISMAEL	[email protected]	Kirkuk University
26	Huda Al-mashadani	[email protected]	University Of  Ninevah
27	Samer kasim hasan	[email protected]	Almustansriyah
28	Sarkesh khalid ridha	[email protected]	Kirkuk University
29	Sawsan Sami	[email protected]	University of Mosul
30	Amir Abdulillah Mohammed	[email protected]	University of Mosul
31	Alaa Abdulraheem Ahmed Hamoodat	[email protected]	University of Mosul
32	AZZAM SALAHUDDIN YOUNUS ALADOOL	[email protected]	University of Mosul
33	Mrs Nebghouha Mohamed Taleb	[email protected]	Cheikh Anta Diop University-Dakar
34	Amjad Alipanah	[email protected]	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

1. Introduction. o Motivation : examples from industry o Optimisation : state of the art 2. A review of analysis o Basic function spaces o Definitions Properties of Hilbert space of Hilbert spaces Integration by parts in dimension d and applications Distributions 1. Review of Mathematical Programming o Convex Analysis, o Constrained and Unconstrained Problems, o Line search methods, Lagrange multipliers o Dynamic programming: principle of optimality, dynamic programming, discrete LQR 2. Hamilton-Jacobi-Bellman equation: o differential pressure in continuous time, HJB equation, Continuous LQR 3. Calculus of Variations and Optimal Control o Basic CoV Problem, o Euler-Lagrange Equations, CoV and Optimal Control, Numerical Methods Maximum Principle o Statement of MP, o Proof of MP, Bang-bang Control Classical control theory: o Controllability, o Observability Stability 1. Semigroups of operators 2. Controllability of infinite dimensional systems: Moment problem method 3. Stability of infinite dimensional systems: Transfer function method 4. Delay Differential Equation and its Comparison with ODE Numerical methods 5. Mathematical models and Delay optimal control o Development of the optimal control theory for functional differential equations o Model of the flying apparatus o Model of the economical growth 6. Delay optimal control problems with non-fixed initial moment o Problem with discontinuous initial condition and its effect. o Linear time-optimal control problem o Inverse problems Problems with the continuous initial condition and its effect Problems with the mixed initial condition (general case) and its effect Shape optimisation as part of the optimal control theory o Definition o Examples Techniques: Iterative methods using shape gradients, Genetic Algorithms

 

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