Hector J. Sussmann

Rutgers University, USA

Control Variations in the setting of Generalized Differentials

We propose definitions of the notions of "control variation," "differentiability of a variation," and "compatibility of variations," suitable for the formulation of a general version of the maximum principle within the setting of flows and generalized differentials. In particular, the variations in our setting can have set-valued differentials. Examples will be given (following our recent work with F. Rampazzo) showing how one can use this notion to include some high-order variations for Lipschitz vector fields.

---

Back to program of MCR2000