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

Authors:
Joseph A. Ball;Dmitry S. Kaliuzhnyi-Verbovetskyi
Affiliations:
Department of Mathematics, Virginia Tech, Blacksburg, USA 24061;Department of Mathematics, Drexel University, Philadelphia, USA 19104
Venue:
Multidimensional Systems and Signal Processing
Year:
2008

Citing 3
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Abstract

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.