Course

Optimization, optimal control and optimal design theories play a fundamental role in the effort to increase the efficiency in all fields of human activity. The course aims to introduce the participants to this modern field of mathematics via numerous examples and applications, some of which will be completely solved. The prerequisites required for a full understanding are just basic elements of mathematical analysis and differential equations. The lectures will be completed by exercises related to the notions that form the object of the course.

Contents

1. Classical extremal problems

2. The simplest regulator problem and its solution

3. Exercises

4. Motivating examples from physics and engineering. Numerical examples

5. Formulation of general control and shape optimization problems

6. Exercises

7. Admissibility and suboptimal solutions. Existence

8. First application: landing on the moon

9. Second application: thickness optimization for plates

Schedule

Lectures will be held in the seminar room C 421.1, Agora 4^th floor

1. Wednesday 4^th October at 14.00—16.00

2. Thursday 5^th October at 14.00—16.00

3. Tuesday 10^th October at 14.00—16.00

4. Wednesday 11^th October at 14.00—16.00

5. Thursday 12^th October at 14.00—16.00