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Conservative dilations of dissipative multidimensional systems: The commutative and non-commutative settings
Journal article   Peer reviewed

Conservative dilations of dissipative multidimensional systems: The commutative and non-commutative settings

Joseph A. Ball and Dmitry S. Kaliuzhnyi-Verbovetskyi
Multidimensional systems and signal processing, v 19(1), pp 79-122
01 Mar 2008

Abstract

Computer Science, Theory & Methods Engineering, Electrical & Electronic Science & Technology Computer Science Engineering Technology
We establish the existence of conservative dilations for various types of dissipative non-commutative N-dimensional (N-D) systems. As a corollary, a criterion of existence of conservative dilations for corresponding dissipative commutative N-D systems is obtained. We point out the cases where this criterion is always fulfilled, and the cases where it is not always fulfilled.

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Domestic collaboration
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Computer Science, Theory & Methods
Engineering, Electrical & Electronic
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