Using constant transformations and matrix embeddings it is shown how to find all constant realizations of an arbitrary rational transfer function matrix. Explicit means of calculating the transformations are given and the theory is applied to finding essentially all equivalent networks.
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%0 Journal Article
%1 anderson1966equivalence
%A Anderson, B.D.O.
%A Newcomb, R.W.
%A Kalman, R.E.
%A Youla, D.C.
%D 1966
%J Journal of the Franklin Institute
%K dynamical_systems equivalent_networks equivalent_systems identifiability linear_dynamical_systems
%N 5
%P 371 - 378
%R http://dx.doi.org/10.1016/0016-0032(66)90298-5
%T Equivalence of linear time-invariant dynamical systems
%U http://www.sciencedirect.com/science/article/pii/0016003266902985
%V 281
%X Using constant transformations and matrix embeddings it is shown how to find all constant realizations of an arbitrary rational transfer function matrix. Explicit means of calculating the transformations are given and the theory is applied to finding essentially all equivalent networks.
@article{anderson1966equivalence,
abstract = {Using constant transformations and matrix embeddings it is shown how to find all constant realizations of an arbitrary rational transfer function matrix. Explicit means of calculating the transformations are given and the theory is applied to finding essentially all equivalent networks.},
added-at = {2016-08-08T19:55:27.000+0200},
author = {Anderson, B.D.O. and Newcomb, R.W. and Kalman, R.E. and Youla, D.C.},
biburl = {https://www.bibsonomy.org/bibtex/2e317bdef9bb8e8285bfbbf4821743410/peter.ralph},
doi = {http://dx.doi.org/10.1016/0016-0032(66)90298-5},
interhash = {7c4e874927f8a078788b5e25d67a93f7},
intrahash = {e317bdef9bb8e8285bfbbf4821743410},
issn = {0016-0032},
journal = {Journal of the Franklin Institute},
keywords = {dynamical_systems equivalent_networks equivalent_systems identifiability linear_dynamical_systems},
number = 5,
pages = {371 - 378},
timestamp = {2016-08-08T19:55:27.000+0200},
title = {Equivalence of linear time-invariant dynamical systems},
url = {http://www.sciencedirect.com/science/article/pii/0016003266902985},
volume = 281,
year = 1966
}