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 Scopus citations

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

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'ON THE TOPOLOGY AND GEOMETRY ASPECTS OF UNIVERSALLY OBSERVABLE SYSTEMS.'. Together they form a unique fingerprint.

  • 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.