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) |
---|---|
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