On Observability of Chaotic Systems: An Example

Di Masi, G.B. & Gombani, A. (1989). On Observability of Chaotic Systems: An Example. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-89-063

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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.

Item Type: Monograph (IIASA Working Paper)
Research Programs: Methodology of Decision Analysis (MDA)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 01:59
Last Modified: 27 Aug 2021 17:13
URI: https://pure.iiasa.ac.at/3281

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