On Observability of Chaotic Systems: An Example

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3322 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3322 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3322 archive 351 disk0/00/00/32/81 2016-01-15 01:59:40 2021-08-27 17:13:35 2016-01-15 01:59:40 monograph show 2 Di Masi G.B. AL0595 Gombani A. AL0703 On Observability of Chaotic Systems: An Example pub iis_met prog_mda The concept of observability of a special chaotic system, namely the dyadic map, is studied here in case the observation is not exact. The usual concept of observable subspace does not distinguish among the behavior of different models. It turns out that a suitable extension of this concept can be obtained using the idea of Hausdorff dimension. It is shown that this dimension increases as the observation error becomes smaller, and is equal to one only if the system is observable. 1989-08 published WP-89-063 WP-89-063 10 1834 1910 public working_paper IIASA, Laxenburg, Austria 13 FALSE info:eu-repo/semantics/book