Lecturer:
Course Type:
PhD Course
Academic Year:
2014-2015
Period:
April-May
Duration:
20 h
Description:
PART 1: Controllability
-) Control systems: accessibility, controllability
-) Controllability of linear systems
-) Families of vector fields. Lie algebras
-) The Frobenious theorem
-) The orbit Theorem and the Krener theorem
-) Symmetric families: the Chow theorem
-) Compatible vector fields
-) Recurrent drift
-) Systems with unbounded controls
PART 2: Optimal control
-) Existence. The Filippov theorem
-) First order conditions. The Pontryagin Maximum Principle
-) Synthesis theory
Location:
A-133