18th IFIP Conf. System Modelling and Optimization

July 22 to July 25, 1997 in Detroit, MI


Matthias Kawski.

Arizona State University, Department of Mathematics

"Regularity of optimal controls and bifurcations"

Abstract In order to determine controllability it does not suffice to only consider needle variations and similar classical families of control variations. For example, one also needs to utilize families of variations with increasing numbers of switchings. We study the implications of this observation for the regularity of the optimal controls.
The focus is on the deformation of time-optimal controls from bang-bang (with a bounded number of switchings) to "chattering" as system parameters, time, or control bounds vary.


For further information please contact: Matthias Kawski.