EE Seminar: On Approximating Contractive Systems

Speaker: Meir Botner

M.Sc. student under the supervision of Prof. Michael Margaliot

Wednesday, January 25th, 2017 at 15:00

Room 011, Kitot Bldg., Faculty of Engineering

On Approximating Contractive Systems

A dynamical system is called contractive if any two trajectories approach each other. This has many important implications. For example, if the trajectories evolve on a compact and convex state-space then the system admits an asymptotically globally stable equilibrium point.

We present a bound on the error in approximating the trajectories of a contractive system using a simpler system (e.g. an LTI system). We show that in some cases this bound can be computed explicitly.