Opacity and its Trade-offs with Security in Linear Systems

John, VM and Katewa, V (2022) Opacity and its Trade-offs with Security in Linear Systems. In: 61st IEEE Conference on Decision and Control, CDC 2022, 6 - 9 December 2022, Cancun, pp. 5443-5449.

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Abstract

Opacity and attack detectability are important properties for any system as they allow the states to remain private and malicious attacks to be detected, respectively. In this paper, we show that a fundamental trade-off exists between these properties for a linear dynamical system, in the sense that one cannot have an opaque system without making it vulnerable to undetectable attacks. We first characterize the opacity conditions for the system in terms of its weakly unobservable subspace (WUS) and show that the number of opaque states is proportional to the size of the WUS. Further, we establish conditions under which increasing the opaque sets also increases the set of undetectable attacks. This highlights a fundamental trade-off between security and privacy. We demonstrate our results on a team of delivery UAVs. © 2022 IEEE.

Item Type:	Conference Paper
Publication:	Proceedings of the IEEE Conference on Decision and Control
Publisher:	Institute of Electrical and Electronics Engineers Inc.
Additional Information:	The copyright for this article belongs to Institute of Electrical and Electronics Engineers Inc.
Keywords:	Dynamical systems; Economic and social effects; Linear control systems; Network security, Condition; Detectability; Linear dynamical systems; Malicious attack; Property; Security and privacy; Trade off; Unobservable, Opacity
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering Division of Interdisciplinary Sciences > Robert Bosch Centre for Cyber Physical Systems
Date Deposited:	16 Feb 2023 05:43
Last Modified:	16 Feb 2023 05:43
URI:	https://eprints.iisc.ac.in/id/eprint/80334

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