Lecturer:
Course Type:
PhD Course
Academic Year:
2012-2013
Period:
November-February
Duration:
60 h
Description:
- Control systems on smooth manifolds; orbits and attainable sets.
- Linear systems: controllability test.
- Chronological calculus.
- Orbits theorem of Nagano and Sussmann
- Rashevskij-Chow and Frobenius theorems.
- Nagano equivalence principle.
- Control of configurations ("fallen cats").
- Structure of attainable sets; Krener's theorem.
- Compatible vector fields. Relaxation.
- Nonwandering points and controllability.
- Controllability for Galerkin approximations of the Euler's ideal fluid equation.
- Optimal control problem. Existence of solution.
- Pontryagin Maximum Principle.
- Solution of model problems: a particle on the line, oscillator, Dubins car.
- Linear time-optimal problems.
- Linear-quadratic problems.
- Fields of extremals and sufficient optimality conditions.
Research Group:
Location:
A-133