Observation of nonlinear systems via finite capacity channels: Part II: Restoration entropy and its estimates

Alexey S. Matveev (Corresponding author), Alexander Yu Pogromsky

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Uittreksel

The paper deals with the state estimation problem for nonlinear dynamical systems via communication channels with limited data rate. We introduce several minimum data-rate limits associated with various types of observability. A notion of the restoration entropy (RE) is also introduced and its relevance to the problem is outlined by a corresponding Data Rate Theorem. Theoretical lower and upper estimates for the RE are proposed in the spirit of the first and second Lyapunov methods, respectively. For three classic chaotic multi-dimensional systems, it is demonstrated that the lower and upper estimates for the RE coincide for one of them and are nearly the same for the others.

Originele taal-2Engels
Pagina's (van-tot)189-199
Aantal pagina's11
TijdschriftAutomatica
Volume103
DOI's
StatusGepubliceerd - 1 mei 2019

Vingerafdruk

Channel capacity
Restoration
Nonlinear systems
Entropy
Lyapunov methods
Nonlinear dynamical systems
Observability
State estimation

Citeer dit

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Observation of nonlinear systems via finite capacity channels : Part II: Restoration entropy and its estimates. / Matveev, Alexey S. (Corresponding author); Pogromsky, Alexander Yu.

In: Automatica, Vol. 103, 01.05.2019, blz. 189-199.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

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