##
Optimization and Systems Theory Seminar

### November 19, 15.30-16.30

### Professor Hector Sussmann

Department of Mathematics,

Rutgers University,

New Brunswick,

USA.

###
Lie brackets and impulse controls

We show how the concept of an impulse control, for systems
involving noncommuting vector fields, cannot be made meaningful by
using Stieltjes integrals or distibutional controls. We proposed
instead to use time-reparametrizations and graph-completions, in the
spirit of the work of A. Bressan and F. Rampazzo. By means of some
simple optimal control problems, we show how the optimization problem
truly requires these more general notions, since different problems
can have truly different solutions, all of which agree as
distributions.

Calendar of Seminars

*Last update: November 14, 1996 by Anders Forsgren,
andersf@math.kth.se.
*