NDLI: Sampled observability of discrete heterogeneous ensembles from anonymized output measurements

Content Provider	IEEE Xplore Digital Library
Author	Zeng, Shen Ishii, Hideaki Allgower, Frank
Copyright Year	2015
Description	Author affiliation: Institute for Systems Theory and Automatic Control, University of Stuttgart, 70550, Germany (Zeng, Shen; Allgower, Frank) \|\| Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Japan (Ishii, Hideaki)
Abstract	We consider the problem of reconstructing the initial states of a group of heterogeneous LTI systems in the situation that output measurements of the subsystems are received at discrete time steps and in an anonymized manner. By the latter we refer to the fact that in each time step, the association of the output measurements of the subsystems and the subsystem that produced it is lost. Therefore, the output measurements at a given time step are called output snapshot, as they capture only the group's outputs as a whole. This setup is motivated by state estimation problems for populations of dynamical systems in which the output measurements of the subsystems are only given as statistics. We give a theoretical result concerning the number of measurement times needed in order to be able to uniquely reconstruct the initial states, and furthermore illustrate a practical method for state estimation under noisy output snapshots.
Starting Page	5683
Ending Page	5688
File Size	296393
Page Count	6
File Format	PDF
e-ISBN	9781479978861
DOI	10.1109/CDC.2015.7403111
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-12-15
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Observability Sociology Statistics Time measurement State estimation Yttrium
Content Type	Text
Resource Type	Article

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