On the number of solutions for dynamic pole assignment problems

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Abstract

The number of complex dynamic compensators of order q assigning a given set of poles for a q-nondegenerate m-input, p-output system of McMillan degree n = q(m + p - 1) + mp is given in this paper. As a corollary it follows that when this number is odd, the generic system can be arbitrarily pole assigned by output feedback with a real dynamic compensator of order at most q if and only if q (m + p - 1) + mp ≥ n.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Editors Anon
PublisherPubl by IEEE
Pages2411-2412
Number of pages2
ISBN (Print)0780312988
StatePublished - 1993
EventProceedings of the 32nd IEEE Conference on Decision and Control. Part 3 (of 4) - San Antonio, TX, USA
Duration: Dec 15 1993Dec 17 1993

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume3
ISSN (Print)0191-2216

Conference

ConferenceProceedings of the 32nd IEEE Conference on Decision and Control. Part 3 (of 4)
CitySan Antonio, TX, USA
Period12/15/9312/17/93

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