WAMS: 22 Oct., - 2 Nov., 2017

 

 

West Asia Mathematical Schools

WAMS 22nd Oct., - 2nd Nov., 2017

Entitled:

Control and Optimization with Industrial Applications

For registration, Click here

Deadline for the registration is

 30th Sep., 2017

Date and place of the school 

Date: The period from 22nd October to 2nd  November 2017

Place: Department of mathematics, College of Sciences, Salahaddin University-Erbil, Erbil, Kurdistan-Iraq.

Coordinators

  • Abdeljalil Nachaoui, Laboratoire de Mathématiques-Jean Leray, Universit de Nantes, France

E-mail : This email address is being protected from spambots. You need JavaScript enabled to view it.

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

 E-mail : This email address is being protected from spambots. You need JavaScript enabled to view it.

Contact of local organizing institutions

Mathematics Department, College of Sciences, Salahaddin University-Erbil, Erbil, Kurdistan-Iraq 

Website: http://science.su.edu.krd/

Department of mathematics, College of Sciences, University of  Diyala, Diyala, Iraq

Website: http://www.sciences.uodiyala.edu.iq

Local Organizing Committee

Director: Dr.  Herish Omer, The Dean of College of Sciences, Salahaddin University-Erbil (This email address is being protected from spambots. You need JavaScript enabled to view it. )

Co-chair : Dr.  Rostam Karim Saeed,Mathematics Department, College of Sciences, Salahaddin University-Erbil (This email address is being protected from spambots. You need JavaScript enabled to view it. ).

Member : Dr. Kawa M. A. Manmi, Head of the Mathematics Department, College of Science, Salahaddin University-Erbil (This email address is being protected from spambots. You need JavaScript enabled to view it. ).

Member : Karzan Ahmed, Mathematics Department, College of Sciences, Salahaddin University-Erbil This email address is being protected from spambots. You need JavaScript enabled to view it. ).

Member: Andam Ali Mustafa, Mathematics Department, College of Science, Salahaddin University-Erbil (This email address is being protected from spambots. You need JavaScript enabled to view it. ).

Member: Evar Lutfalla Sadraddin, Mathematics Department, College of Science, Salahaddin University-Erbil (This email address is being protected from spambots. You need JavaScript enabled to view it. ).

MemberMahammed AM Rassheed, Mathematics Department, College of Science, Karkuk University (This email address is being protected from spambots. You need JavaScript enabled to view it. ).

Lecturers

Scientific committee

Description of Schools

Control and Optimization with Industrial Applications

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.
  • Motivation : examples from industry
  • Optimisation : state of the art
  1. A review of analysis
  • Basic function spaces
  • Definitions Properties of Hilbert space of Hilbert spaces

Integration by parts in dimension d and applications

Distributions

  1. Review of Mathematical Programming
  • Convex Analysis,
  • Constrained and Unconstrained Problems,
  • Line search methods, Lagrange multipliers
  • Dynamic programming: principle of optimality, dynamic programming, discrete LQR
  1. Hamilton-Jacobi-Bellman equation:
  • differential pressure in continuous time, HJB equation, Continuous LQR
  1. Calculus of Variations and Optimal Control
  • Basic CoV Problem,
  • Euler-Lagrange Equations,

CoV and Optimal Control,

Numerical Methods

Maximum Principle

  • Statement of MP,
  • Proof of MP,

Bang-bang Control

Classical control theory:

  • Controllability,
  • Observability

Stability

  1. Semigroups of operators
  2. Controllability of infinite dimensional systems:

Moment problem method

  1. Stability of infinite dimensional systems:

Transfer function method

  1. Delay Differential Equation and its Comparison with ODE

Numerical methods

  1. Mathematical models and Delay optimal control
  • Development of the optimal control theory forfunctional differential equations
    • Model of the flying apparatus
    • Model of the economical growth
  1. Delay optimal control problems with non-fixed initial moment
  • Problem with discontinuous initial condition and its effect.
  • Linear time-optimal control problem
  • 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

  • Definition
  • Examples

Techniques: Iterative methods using shape gradients,

Genetic Algorithms

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