scholarly journals Corrigendum to “Numerical approximation of the data-rate limit for state estimation under communication constraints” [J. Math. Anal. Appl. 473 (2) (2019) 1280–1304]

2022 ◽  
Vol 509 (2) ◽  
pp. 125967
Author(s):  
Sigurdur Hafstein ◽  
Christoph Kawan
2020 ◽  
Vol 53 (2) ◽  
pp. 4955-4960
Author(s):  
C. Kawan ◽  
A. Matveev ◽  
A. Pogromsky

Entropy ◽  
2018 ◽  
Vol 21 (1) ◽  
pp. 7 ◽  
Author(s):  
Christoph Kawan

In the context of state estimation under communication constraints, several notions of dynamical entropy play a fundamental role, among them: topological entropy and restoration entropy. In this paper, we present a theorem that demonstrates that for most dynamical systems, restoration entropy strictly exceeds topological entropy. This implies that robust estimation policies in general require a higher rate of data transmission than non-robust ones. The proof of our theorem is quite short, but uses sophisticated tools from the theory of smooth dynamical systems.


1996 ◽  
Vol 28 (1) ◽  
pp. 49-54 ◽  
Author(s):  
Xia Li ◽  
Wing Shing Wong

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