arrow
Return

Submodularity-based false data injection attack scheme in multi-agent dynamical systems

delete2024-02-01
delete3
delete
OA
AI
X
Xiaoyu Luo
C
Chengcheng Zhao *
C
Chongrong Fang
J
Jianping He
DOI:10.1016/j.automatica.2023.111426delete
deleteOriginal
deleteShare
deleteSave
View PDF
Abstract

Abstract

En 中文
Consensus in multi-agent dynamical systems is prone to be sabotaged by the adversary, which has attracted much attention due to its key role in broad applications. In this paper, we study a new false data injection (FDI) attack design problem, where the adversary with limited capability aims to select a subset of agents and manipulate their local multi-dimensional states to maximize the consensus convergence error. We first formulate the FDI attack design problem as a combinatorial optimization problem and prove it is NP-hard. Then, based on the submodularity optimization theory, we provide the necessary and sufficient conditions to guarantee that the convergence error is a submodular function of the set of compromised agents, satisfying the property of diminishing marginal returns. In other words, the benefit of adding an extra agent to the compromised set decreases as that set becomes larger. With this property, we exploit the greedy scheme to find the optimal compromised agent set that can produce the maximum convergence error when adding one extra agent to that set each time. Thus, the FDI attack set selection algorithms are developed to obtain the near-optimal subset of the compromised agents. Furthermore, we derive the analytical suboptimality bounds and the worst-case running time under the proposed algorithm. Extensive simulation results are conducted to show the effectiveness of the proposed algorithm.(c) 2023 Elsevier Ltd. All rights reserved.
Keywords:
Dynamical systems
False data injected attacks
Submodular function
Attack selection
Greedy algorithm
AI Summary

AI Summary

Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.

Journal

Automatica cover
Automatica
IF:
5.9
Papers:
1.2W
Citations:
5.2W

Organization

S
shanghai jiao tong university
Scholars:
15.5W
Papers: 11.6W
Citations: 159
Z
zhejiang university
Scholars:
17.4W
Papers: 12.0W
Citations: 152