M7860 Theory of regulation and optimalization

Faculty of Science
Autumn 2007 - for the purpose of the accreditation
Extent and Intensity
2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: k (colloquium).
Teacher(s)
prof. RNDr. Roman Šimon Hilscher, DSc. (lecturer)
Guaranteed by
prof. RNDr. Roman Šimon Hilscher, DSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: doc. RNDr. Erich Barvínek, CSc.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
1. Tools from nonlinear functional analysis 2. Methods of calculus of variations. 3. Lagrangian problems. 4. Linear-quadratic problems. 5. Problems of optimal control. 6. Pontryagin principle. 7. Classification of harmonic oscillators. 8. Optimal production model. 9. Newton's aerodynamic problem. 10. Optimal interpolation and Sobolev spaces.
Syllabus
  • 1. Tools from nonlinear functional analysis 2. Methods of calculus of variations. 3. Lagrangian problems. 4. Linear-quadratic problems. 5. Problems of optimal control. 6. Pontryagin principle. 7. Classification of harmonic oscillators. 8. Optimal production model. 9. Newton's aerodynamic problem. 10. Optimal interpolation and Sobolev spaces.
Language of instruction
Czech
Further Comments
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 1999, Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009.