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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.
|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Mathematics|
|Uncontrolled Keywords:||Linear behavior - Compactification of systems - Shift spaces - Grothendieck quotient scheme|
|Deposited On:||16 Mar 2010 09:42|
|Last Modified:||28 Nov 2013 02:05|
|Additional Information:||The original publication is available at www.springerlink.com|
|Free access at:||Related URL. An embargo period may apply.|
|Citations:||Web of Science®. Times Cited: 8|
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