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Conservative dilations of dissipative multidimensional systems: the commutative and non-commutative settings
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http://hdl.handle.net/1860/2731
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| Title: | Conservative dilations of dissipative multidimensional systems: the commutative and non-commutative settings |
| Authors: | Ball, Joseph A.
Kaliuzhnyi-Verbovetskyi, Dmitry S. |
| Issue Date: | 2008 |
| Publisher: | Springer Verlag |
| Citation: | Multidimensional Systems and Signal Processing, 19(1): pp. 79-122. |
| 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. |
| URI: | http://dx.doi.org/10.1007/s11045-007-0025-0
http://hdl.handle.net/1860/2731 |
| Appears in Collections: | Faculty Research and Publications (Mathematics)
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