Minimal dimension realization and identifiability of input-output sequences
- 1 April 1977
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 22 (2) , 227-232
- https://doi.org/10.1109/tac.1977.1101452
Abstract
A necessary and sufficient condition of identifiability of an input-output sequence is given. An algorithm is presented by which a minimal dimension realization from a given input-output sequence can be obtained. A canonical input-output equation is introduced. It is shown that the state equation realization from a canonical input-output equation exists and is unique, up to an isomorphism.Keywords
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