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Homogeneous behaviors (1997)

Ravi, M. S. ; Rosenthal, J. ; Schumacher, J. M.

Springer

Mathematics of control, signals, and systems 10 (1997), S. 61-75

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ISSN: 1435-568X

Keywords: Linear behavior ; Compactification of systems ; Shift spaces ; Grothendieck quotient scheme

Source: Springer Online Journal Archives 1860-2000

Topics: Electrical Engineering, Measurement and Control Technology , Mathematics , Technology

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01219776

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