convex_preprint_arXiv_250621.pdf (624.35 kB)
A subgradient algorithm for data-rate optimization in the remote state estimation problem
journal contribution
posted on 2023-06-10, 00:51 authored by Christoph Kawan, Sigurdur Hafstein, Peter GieslPeter GieslIn the remote state estimation problem, an observer tries to reconstruct the state of a dynamical system at a remote location, where no direct sensor measurements are available. The observer only has access to information sent through a digital communication channel with a finite capacity. The recently introduced notion of restoration entropy provides a way to determine the smallest channel capacity above which an observer can be designed that observes the system without a degradation of the initial observation quality. In this paper, we propose a subgradient algorithm to estimate the restoration entropy via the computation of an appropriate Riemannian metric on the state space, which allows us to determine the approximate value of the entropy from the time-one map (in the discrete-time case) or the generating vector field (for ODE systems), respectively.
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Publication status
- Published
File Version
- Accepted version
Journal
SIAM Journal on Applied Dynamical SystemsISSN
1536-0040Publisher
Society of Industrial and Applied MathematicsExternal DOI
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4Volume
20Page range
2142-2173Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2021-09-06First Open Access (FOA) Date
2021-09-16First Compliant Deposit (FCD) Date
2021-09-03Usage metrics
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