### 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 language | English (US) |
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Title of host publication | Proceedings of the IEEE Conference on Decision and Control |

Publisher | IEEE |

Pages | 963-965 |

Number of pages | 3 |

State | Published - 1987 |

### ASJC Scopus subject areas

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

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## 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.