Information theoretic study of the signaling problem in decentralized stabilization of noisy linear systems

Serdar Yüksel; Tamer Başar

doi:10.1109/CDC.2007.4434541

Information theoretic study of the signaling problem in decentralized stabilization of noisy linear systems

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We study the problem of distributed stabilization of linear systems over communication channels. Building on our earlier work, we adopt an information theoretic look at the signaling problem when the system and observations are noisy. We provide a lower bound on the average sum-rate, which is tight when the system noise is absent. We further show that when the system and observations are noisy, the signaling process involves coding over an unknown channel with unequal side information between the stations, and as such its construction is fairly complicated. This leads to new insights on designing distributed controllers connected over channels.

Original language	English (US)
Title of host publication	Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	328-333
Number of pages	6
ISBN (Print)	1424414989, 9781424414987
DOIs	https://doi.org/10.1109/CDC.2007.4434541
State	Published - 2007
Event	46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States Duration: Dec 12 2007 → Dec 14 2007

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	46th IEEE Conference on Decision and Control 2007, CDC
Country/Territory	United States
City	New Orleans, LA
Period	12/12/07 → 12/14/07

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/CDC.2007.4434541

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Yüksel, S., & Başar, T. (2007). Information theoretic study of the signaling problem in decentralized stabilization of noisy linear systems. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC (pp. 328-333). Article 4434541 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2007.4434541

Information theoretic study of the signaling problem in decentralized stabilization of noisy linear systems. / Yüksel, Serdar; Başar, Tamer.
Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc., 2007. p. 328-333 4434541 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Yüksel, S & Başar, T 2007, Information theoretic study of the signaling problem in decentralized stabilization of noisy linear systems. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4434541, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 328-333, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434541

Yüksel S, Başar T. Information theoretic study of the signaling problem in decentralized stabilization of noisy linear systems. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc. 2007. p. 328-333. 4434541. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2007.4434541

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Information theoretic study of the signaling problem in decentralized stabilization of noisy linear systems

Abstract

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