ON THE TOPOLOGY AND GEOMETRY ASPECTS OF UNIVERSALLY OBSERVABLE SYSTEMS.

C. I. Byrnes, W. Dayawansa, Carol Martin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Citations (Scopus)

Abstract

The authors examine necessary conditions for the existence of a universally observable system defined on a state space X. An attempt is made to prove that such a system is necessarily minimal and that, if X is smooth, then X is compact, connected with vanishing Euler characteristic. As a consequence of this and the classification, initiated by Poincare and Denjoy, of vector fields on the two-torus, it is shown that low-dimensional universally observable systems are unexpectedly rare.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherIEEE
Pages963-965
Number of pages3
StatePublished - 1987

Fingerprint

Topology
Geometry

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Byrnes, C. I., Dayawansa, W., & Martin, C. (1987). ON THE TOPOLOGY AND GEOMETRY ASPECTS OF UNIVERSALLY OBSERVABLE SYSTEMS. In Proceedings of the IEEE Conference on Decision and Control (pp. 963-965). IEEE.

ON THE TOPOLOGY AND GEOMETRY ASPECTS OF UNIVERSALLY OBSERVABLE SYSTEMS. / Byrnes, C. I.; Dayawansa, W.; Martin, Carol.

Proceedings of the IEEE Conference on Decision and Control. IEEE, 1987. p. 963-965.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Byrnes, CI, Dayawansa, W & Martin, C 1987, ON THE TOPOLOGY AND GEOMETRY ASPECTS OF UNIVERSALLY OBSERVABLE SYSTEMS. in Proceedings of the IEEE Conference on Decision and Control. IEEE, pp. 963-965.
Byrnes CI, Dayawansa W, Martin C. ON THE TOPOLOGY AND GEOMETRY ASPECTS OF UNIVERSALLY OBSERVABLE SYSTEMS. In Proceedings of the IEEE Conference on Decision and Control. IEEE. 1987. p. 963-965
Byrnes, C. I. ; Dayawansa, W. ; Martin, Carol. / ON THE TOPOLOGY AND GEOMETRY ASPECTS OF UNIVERSALLY OBSERVABLE SYSTEMS. Proceedings of the IEEE Conference on Decision and Control. IEEE, 1987. pp. 963-965
@inproceedings{62b1422a4d0d42828c25377fe3a5a288,
title = "ON THE TOPOLOGY AND GEOMETRY ASPECTS OF UNIVERSALLY OBSERVABLE SYSTEMS.",
abstract = "The authors examine necessary conditions for the existence of a universally observable system defined on a state space X. An attempt is made to prove that such a system is necessarily minimal and that, if X is smooth, then X is compact, connected with vanishing Euler characteristic. As a consequence of this and the classification, initiated by Poincare and Denjoy, of vector fields on the two-torus, it is shown that low-dimensional universally observable systems are unexpectedly rare.",
author = "Byrnes, {C. I.} and W. Dayawansa and Carol Martin",
year = "1987",
language = "English (US)",
pages = "963--965",
booktitle = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "IEEE",

}

TY - GEN

T1 - ON THE TOPOLOGY AND GEOMETRY ASPECTS OF UNIVERSALLY OBSERVABLE SYSTEMS.

AU - Byrnes, C. I.

AU - Dayawansa, W.

AU - Martin, Carol

PY - 1987

Y1 - 1987

N2 - The authors examine necessary conditions for the existence of a universally observable system defined on a state space X. An attempt is made to prove that such a system is necessarily minimal and that, if X is smooth, then X is compact, connected with vanishing Euler characteristic. As a consequence of this and the classification, initiated by Poincare and Denjoy, of vector fields on the two-torus, it is shown that low-dimensional universally observable systems are unexpectedly rare.

AB - The authors examine necessary conditions for the existence of a universally observable system defined on a state space X. An attempt is made to prove that such a system is necessarily minimal and that, if X is smooth, then X is compact, connected with vanishing Euler characteristic. As a consequence of this and the classification, initiated by Poincare and Denjoy, of vector fields on the two-torus, it is shown that low-dimensional universally observable systems are unexpectedly rare.

UR - http://www.scopus.com/inward/record.url?scp=0023548235&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0023548235&partnerID=8YFLogxK

M3 - Conference contribution

SP - 963

EP - 965

BT - Proceedings of the IEEE Conference on Decision and Control

PB - IEEE

ER -