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)
Modelling, Analysis and Simulation [MAS]

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