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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This author was supported in part by NSF Grant DMS-94-00965. The research for this paper was carried out in part while he was a visitor at CWI.
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Ravi, M.S., Rosenthal, J. & Schumacher, J.M. Homogeneous behaviors. Math. Control Signal Systems 10, 61–75 (1997). https://doi.org/10.1007/BF01219776
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DOI: https://doi.org/10.1007/BF01219776