Necessary and sufficient conditions for minimality of descriptor representations of impulsive-smooth behaviors are derived. We obtain a complete set of transformations by which minimal descriptor representations that give rise to the same behavior can be transformed into each other. In particular this leads to a jump-behavioral interpretation of the notion of strong equivalence of descriptor representations.

Minimal systems representations (msc 93B20), Differential equations with impulses (msc 34A37), Linear systems (msc 93C05)
CWI
Modelling, Analysis and Simulation [MAS]

Baser, U, & Schumacher, J.M. (1997). Desciptor representations of jump behaviors. Modelling, Analysis and Simulation [MAS]. CWI.