Uli Walther

Department of Mathematics, Purdue University, West Lafayette, Indiana, USA

"Computational Algebraic Geometry and Switching Surfaces in Optimal Control"

Some problems in control can be reduced to finding suitable real solutions of
algebraic equations.  In particular, such a problem arises in the context of
switching surfaces in optimal control.  In this note, we apply Gr"obner basis
techniques and some facts from the theory of real systems to find effective
solutions to the classical problem of time-optimal control.