Leong, Alex S. and Quevedo, Daniel E. and Dolz, Daniel and Dey, Subhrakanti (2019) Information Bounds for State Estimation in the Presence of an Eavesdropper. IEEE Control Systems Letters, 3 (3). pp. 547-552. ISSN 2475-1456

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Abstract

Remote state estimation problems in the presence of eavesdroppers have recently been investigated in the literature. For unstable systems, it has been shown that it is possible to keep the expected estimation error covariance bounded, while the expected eavesdropper error covariance becomes unbounded in the infinite horizon. In this note, we consider an alternative notion of security based on the amount of information revealed to the eavesdropper. Upper and lower bounds on the information revealed are derived. In particular, in the infinite horizon, it is shown that with unstable systems, any transmission policy (within the class of stationary deterministic policies where the sensor at each time step can either transmit its local state estimate or not) which keeps the expected estimation error covariance bounded must always reveal a non-zero expected amount of information to the eavesdropper.

Item Type:	Article
Additional Information:	Cite as: A. S. Leong, D. E. Quevedo, D. Dolz and S. Dey, "Information Bounds for State Estimation in the Presence of an Eavesdropper," in IEEE Control Systems Letters, vol. 3, no. 3, pp. 547-552, July 2019, doi: 10.1109/LCSYS.2019.2912262.
Keywords:	Directed information; eavesdropping; security; state estimation;
Academic Unit:	Faculty of Science and Engineering > Research Institutes > Hamilton Institute Faculty of Science and Engineering > Electronic Engineering
Item ID:	14078
Identification Number:	https://doi.org/10.1109/LCSYS.2019.2912262
Depositing User:	Subhrakanti Dey
Date Deposited:	25 Feb 2021 14:34
Journal or Publication Title:	IEEE Control Systems Letters
Publisher:	IEEE
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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