Grüne, L.; Junge, O.:

(180k)
**Optimal stabilization of hybrid systems using a set oriented approach**,*Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems, Japan, pp. 2089-2093, 2006.*We demonstrate how a recently developed new numerical technique for the construction of approximately optimal stabilizing feedback laws can naturally be extended in order to handle nonlinear hybrid systems with discrete control inputs. The idea of the method is to explicitly construct a finite graph model of the original hybrid system and to use shortest path algorithms in order to compute the optimal value function and the associated feedback law. As a numerical example, we reconsider the construction of a switched DC/DC power converter.