# Optimal stabilization of hybrid systems using a set oriented approach

L. Grüne, O. Junge:
**Optimal stabilization of hybrid systems using a set oriented approach**

in:
*Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS2006),*
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Kyoto, Japan,
2006,
2089 - 2093

## Abstract:

We demonstrate how a recently developed new numerical technique for the construction of approximately optimal stabilizing feedback laws [available here] 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 consider a switched DC/DC power converter.