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.
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Ball, J.A., Kaliuzhnyi-Verbovetskyi, D.S. Conservative dilations of dissipative multidimensional systems: The commutative and non-commutative settings. Multidim Syst Sign Process 19, 79–122 (2008). https://doi.org/10.1007/s11045-007-0025-0
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DOI: https://doi.org/10.1007/s11045-007-0025-0