A note on strict passivity

We show that there exists an explicit descriptor state space format which actually describes all strictly passive transfer functions. A key advantage of this explicitly strictly passive descriptor state space format resides in its relation with congruence projection-based reduced order modeling, where the resulting reduced order model is also cast in this same format. Another advantage of the format is that it allows for a simple construction of strictly passive random systems generators. © 2005 Elsevier B.V. All rights reserved.