Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/69323
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Type: Journal article
Title: Control of discrete-time HMM partially observed under fractional Gaussian noises
Author: Elliott, R.
Siu, T.
Citation: Systems and Control Letters, 2011; 60(5):350-355
Publisher: Elsevier Science BV
Issue Date: 2011
ISSN: 0167-6911
Statement of
Responsibility: 
Robert J. Elliott and Tak Kuen Siu
Abstract: A discrete-time control problem of a finite-state hidden Markov chain partially observed in a fractional Gaussian process is discussed using filtering. The control problem is then recast as a separated problem with information variables given by the unnormalized conditional probabilities of the whole path of the hidden Markov chain. A dynamic programming result and a minimum principle are obtained. © 2011 Elsevier B.V. All rights reserved.
Keywords: Discrete-time control
Hidden Markov models
Fractional Gaussian noises
Unnormalized conditional probability
Dynamic programming
Minimum principle
Rights: © 2011 Elsevier B.V. All rights reserved.
DOI: 10.1016/j.sysconle.2011.02.012
Description (link): http://www.journals.elsevier.com/systems-and-control-letters/
Published version: http://dx.doi.org/10.1016/j.sysconle.2011.02.012
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Mathematical Sciences publications

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