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The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.

On pole assignment in multi-input controllable linear systems

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Wonham, W.·1967·IEEE Transactions on Automatic Control

Abstract

It is shown that controllability of an open-loop system is equivalent to the possibility of assigning an arbitrary set of poles to the transfer matrix of the closed-loop system, formed by means of suitable linear feedback of the state. As an application of this result, it is shown that an open-loop system can be stabilized by linear feedback if and only if the unstable modes of its system matrix are controllable. A dual of this criterion is shown to be equivalent to the existence of an observer of Luenberger's type for asymptotic state identification.

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Metadata

Authors
Wonham, W.
Venue
IEEE Transactions on Automatic Control
Published
1967-12
Volume
12
Issue
6
Pages
660-665
ISSN
  • 0018-9286 (ISSN-L)
  • 1558-2523
OpenAlex
W2109273274
Cited by
912
References
5
FWCI
53.80
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: On pole assignment in multi-input controllable linear systems. https://app.cochat.ai/papers/10.1109/tac.1967.1098739
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Wonham, W. (1967). On pole assignment in multi-input controllable linear systems. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.1967.1098739

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