NDLI: On the equivalence of two recent control over network results

Content Provider	IEEE Xplore Digital Library
Author	Rojas, A.J.
Copyright Year	2010
Description	Author affiliation: Departamento de Ingeniería Eléctrica, Universidad de Concepción, Chile (Rojas, A.J.)
Abstract	In a recent work we considered the infimal signal-to-noise (SNR) ratio for stabilisability for an additive coloured Gaussian noise (ACGN) channel with bandwidth limitation. For an additive white Gaussian noise (AWGN) channel and a minimum phase plant with m unstable poles pi, i = 1, ⋯, m (each with multiplicity ni) such result should coincide with $Σ^{m}i=1$ 2niRe {pi}, a result independently developed by other authors. However, this is not obvious and what observed for just one unstable real pole p in our recent previous work, is instead the factor 2p times a sum of alternating binomial coefficients. Here we study the properties of the finite Blaschke product containing the plant unstable poles and then explicitly prove the link between our recent result and the result independently developed by other authors, all for an AWGN channel and a minimum phase unstable plant. As a third contribution in this note, we prove the alternating binomial coefficients identity observed for the first time in our previous work (to the best knowledge of the author).
Starting Page	4940
Ending Page	4945
File Size	118330
Page Count	6
File Format	PDF
ISBN	9781424477456
ISSN	07431546
e-ISBN	9781424477463
DOI	10.1109/CDC.2010.5717591
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-12-15
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Signal to noise ratio AWGN channels Mathematical model Equations Bandwidth Delay effects AWGN
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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