An Analogue of Shannon Information Theory for Detection and Stabilization via Noisy Discrete Communication Channels

The paper addresses both detection and stabilization problems involving communication errors and capacity constraints. Discrete-time partially observed linear systems are studied. Unlike the classic theory, the sensor signals are transmitted to the estimator/controller over a noisy digital communica...

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Vydané v:SIAM journal on control and optimization Ročník 46; číslo 4; s. 1323 - 1367
Hlavní autori: Matveev, Alexey S., Savkin, Andrey V.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Philadelphia Society for Industrial and Applied Mathematics 01.01.2007
Predmet:
Codes
Communication channels
Control theory
Controllers
Eigenvalues
Inequality
Information theory
Noise
ISSN:0363-0129, 1095-7138
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Shrnutí:The paper addresses both detection and stabilization problems involving communication errors and capacity constraints. Discrete-time partially observed linear systems are studied. Unlike the classic theory, the sensor signals are transmitted to the estimator/controller over a noisy digital communication link modeled as a stochastic stationary discrete memoryless channel. It is shown that for noise-free plants, the Shannon capacity of the channel constitutes the border separating the cases where stabilization and reliable detection (asymptotic state estimation) with arbitrarily large probability are and are not possible, respectively.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
content type line 14
ISSN:0363-0129
1095-7138
DOI:10.1137/040621697