M8LOCT Linear optimal control theory

Faculty of Science
Spring 2015
Extent and Intensity
2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
Vera Zeidan (lecturer), prof. RNDr. Roman Šimon Hilscher, DSc. (deputy)
doc. Mgr. Petr Zemánek, Ph.D. (lecturer)
Guaranteed by
prof. RNDr. Roman Šimon Hilscher, DSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Roman Šimon Hilscher, DSc.
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Course Enrolment Limitations
The course is offered to students of any study field.
Syllabus (in Czech)
  • The original motivations for Calculus of variations came from classical physics (mechanics, optics) and geometry. Since 1950 new applications to the aerospace sciences, industrial process control, and mathematical economics were found. These applications, which do not fall under the classical setting, forced the theory to extend to what is now known as the theory of optimal control.

    This course is an introduction to the deterministic linear optimal control theory. The notions of controllability, attainable sets, and observability will be introduced for the linear control system. The time optimality problem is mainly the focus of this course. As necessary conditions for optimality we will prove the Bang-Bang theorem and the Pontryagin Maximum Principle.
Teaching methods (in Czech)
Přednášky proběhnou v učebně M3 (ÚMS, budova 08) v těchto termínech:
11. května 2015 (pondělí), 14-16 hodin
12. května 2015 (úterý), 16-18 hodin
15. května 2015 (pátek), 14-16 hodin
Language of instruction
English
Further Comments
Study Materials
The course is taught only once.
The course is taught: in blocks.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/sci/spring2015/M8LOCT