# Homogeneous behaviors

Ravi, M; Rosenthal, J; Schumacher, J (1997). Homogeneous behaviors. Mathematics of Control, Signals, and Systems, 10(1):61-75.

## Abstract

Recently a smooth compactification of the space of linear systems withn states,m inputs, andp outputs has been discovered. In this paper we obtain a concrete interpretation of this compactification as a space of discrete-time behaviors. We use both homogeneous polynomial representations and generalized firstorder representations, and provide a realization theory to link these to each other.

## Abstract

Recently a smooth compactification of the space of linear systems withn states,m inputs, andp outputs has been discovered. In this paper we obtain a concrete interpretation of this compactification as a space of discrete-time behaviors. We use both homogeneous polynomial representations and generalized firstorder representations, and provide a realization theory to link these to each other.

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8 citations in Web of Science®
10 citations in Scopus®