Fundamental Stealthiness-Distortion Tradeoffs in Dynamical Systems under Injection Attacks: A Power Spectral Analysis

Song Fang, Quanyan Zhu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we analyze the fundamental stealthiness-distortion tradeoffs of linear Gaussian dynamical systems under data injection attacks using a power spectral analysis, whereas the Kullback-Leibler (KL) divergence is employed as the stealthiness measure. Particularly, we obtain explicit formulas in terms of power spectra that characterize analytically the stealthiness-distortion tradeoffs as well as the properties of the worst-case attacks. Furthermore, it is seen in general that the attacker only needs to know the input-output behaviors of the systems in order to carry out the worst-case attacks.

Original languageEnglish (US)
Title of host publication2021 European Control Conference, ECC 2021
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages964-969
Number of pages6
ISBN (Electronic)9789463842365
DOIs
StatePublished - 2021
Event2021 European Control Conference, ECC 2021 - Delft, Netherlands
Duration: Jun 29 2021Jul 2 2021

Publication series

Name2021 European Control Conference, ECC 2021

Conference

Conference2021 European Control Conference, ECC 2021
Country/TerritoryNetherlands
CityDelft
Period6/29/217/2/21

ASJC Scopus subject areas

  • Control and Optimization
  • Artificial Intelligence
  • Decision Sciences (miscellaneous)
  • Control and Systems Engineering
  • Mechanical Engineering
  • Computational Mathematics

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