On the minimality of feedback realizations

Brian D.O. Anderson; Michel R. Gevers

doi:10.1080/00207178308932961

On the minimality of feedback realizations

Brian D.O. Anderson^*, Michel R. Gevers

^*Corresponding author for this work

School of Engineering

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

Given minimal dimension realizations for two linear systems with exogenous and feedback inputs, we derive necessary and sufficient conditions under which the feedback interconnection of these two realizations is itself minimal. The conditions involve poles and zeros of certain transfer function matrices, and are relevant in problems of identification of feedback systems.

Original language	English
Pages (from-to)	145-158
Number of pages	14
Journal	International Journal of Control
Volume	37
Issue number	1
DOIs	https://doi.org/10.1080/00207178308932961
Publication status	Published - Jan 1983

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On the minimality of feedback realizations

Abstract

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