One-dimensional Dynamics
In control theory we study several aspects of systems, whose dynamics depends on inputs one could manage. This is a very active branch of applied math. The main purpose of the geometric theory is to study non linear control systems, which typical state space are manifolds. A particular instance of this theory is the study of control sets. At this moment we concentrate the research on the behaviour of the trajectories of the systems on homogeneous spaces.
Members Active in this Field
- Pedro Aladar Tonelli- Control Sets, Control Systems as Dynamical Systems
- Luciano Barbanti - Infinite Dimensional Linear Control Systems, Interior Integration.
Publications
- RTMAP-9402 Conley Decompositions on Flag Manifolds - Pedro Aladar Tonelli
Projects in development
- Controllability and Observability in Hamiltonian and Lagrangian Systems
- Optimization and Subriemannian geometry
- Control Sets of subsemigroups