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This work considers the problem of designing an attack strategy on remote state estimation under the condition of strict stealthiness and $\epsilon$-stealthiness of the attack. An attacker is assumed to be able to launch a linear attack to…

Systems and Control · Electrical Eng. & Systems 2020-06-09 Hanxiao Liu , Yuqing Ni , Lihua Xie , Karl Henrik Johansson

Random attacks that jointly minimize the amount of information acquired by the operator about the state of the grid and the probability of attack detection are presented. The attacks minimize the information acquired by the operator by…

Information Theory · Computer Science 2020-04-08 Ke Sun , Iñaki Esnaola , Samir M. Perlaza , H. Vincent Poor

Information-theoretic stealth attacks are data injection attacks that minimize the amount of information acquired by the operator about the state variables, while simultaneously limiting the Kullback-Leibler divergence between the…

Information Theory · Computer Science 2023-01-12 Ke Sun , Iñaki Esnaola , Antonia M. Tulino , H. Vincent Poor

This paper studies the synthesis and mitigation of stealthy attacks in nonlinear cyber-physical systems (CPS). To quantify stealthiness, we employ the Kullback-Leibler (KL) divergence, a measure rooted in hypothesis testing and detection…

Systems and Control · Electrical Eng. & Systems 2025-04-25 Apurva Patil , Kyle Morgenstein , Luis Sentis , Takashi Tanaka

This paper studies the design of detection observers against stealthy bias injection attacks in stochastic linear systems under Gaussian noise, considering adversaries that exploit noise and inject crafted bias signals into a subset of…

Systems and Control · Electrical Eng. & Systems 2026-01-22 Jingwei Dong , André M. H. Teixeira

Sparse stealth attack constructions that minimize the mutual information between the state variables and the observations are proposed. The attack construction is formulated as the design of a multivariate Gaussian distribution that aims to…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Xiuzhen Ye , Iñaki Esnaola , Samir M. Perlaza , Robert F. Harrison

In this paper, we study the fundamental limits of obfuscation in terms of privacy-distortion tradeoffs for linear Gaussian dynamical systems via an information-theoretic approach. Particularly, we obtain analytical formulas that capture the…

Information Theory · Computer Science 2020-11-03 Song Fang , Quanyan Zhu

Information theoretic sparse attacks that minimize simultaneously the information obtained by the operator and the probability of detection are studied in a Bayesian state estimation setting. The attack construction is formulated as an…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Xiuzhen Ye , Iñaki Esnaola , Samir M. Perlaza , Robert F. Harrison

In this work, we focus on analyzing vulnerability of nonlinear dynamical control systems to stealthy false data injection attacks on sensors. We start by defining the stealthiness notion in the most general form where an attack is…

Systems and Control · Electrical Eng. & Systems 2023-10-10 Amir Khazraei , Miroslav Pajic

This paper investigates the vulnerability of discrete-time linear time-invariant systems to stealthy sensor attacks during the learning phase. In particular, we demonstrate that a {data-driven} adversary, without access to the system model,…

Systems and Control · Electrical Eng. & Systems 2026-02-27 Sribalaji C. Anand

Gaussian Mixture Models (GMMs) are widely used statistical models for representing multi-modal data distributions, with numerous applications in data mining, pattern recognition, data simulation, and machine learning. However, recent…

Information Theory · Computer Science 2026-03-24 Hang Liu , Anna Scaglione , Sean Peisert

In this paper, we study the resilience of process systems in an {\it information-theoretic framework}, from the perspective of an attacker capable of optimally constructing data injection attacks. The attack aims to distract the stationary…

Systems and Control · Electrical Eng. & Systems 2025-05-21 Xiuzhen Ye , Wentao Tang

This paper quantifies the security of uncertain interconnected systems under stealthy data injection attacks. In particular, we consider a large-scale system composed of a certain subsystem interconnected with an uncertain subsystem, where…

Systems and Control · Electrical Eng. & Systems 2025-12-03 Anh Tung Nguyen , Sribalaji C. Anand , André M. H. Teixeira

This work studies anomaly detection under differential privacy (DP) with Gaussian perturbation using both statistical and information-theoretic tools. In our setting, the adversary aims to modify the content of a statistical dataset by…

Information Theory · Computer Science 2022-08-23 Ayse Unsal , Melek Onen

The Kullback-Leibler (KL) divergence is frequently used in data science. For discrete distributions on large state spaces, approximations of probability vectors may result in a few small negative entries, rendering the KL divergence…

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…

Systems and Control · Electrical Eng. & Systems 2022-06-14 Varkey M. John , Vaibhav Katewa

This paper considers the development of information flow analyses to support resilient design and active detection of adversaries in cyber physical systems (CPS). The area of CPS security, though well studied, suffers from fragmentation. In…

Systems and Control · Computer Science 2016-03-21 Sean Weerakkody , Bruno Sinopoli , Soummya Kar , Anupam Datta

The capability of a novel Kullback-Leibler divergence method is examined herein within the Kalman filter framework to select the input-parameter-state estimation execution with the most plausible results. This identification suffers from…

Signal Processing · Electrical Eng. & Systems 2025-11-05 Marios Impraimakis

Kullback-Leibler (KL) divergence is a fundamental concept in information theory that quantifies the discrepancy between two probability distributions. In the context of Variational Autoencoders (VAEs), it serves as a central regularization…

Machine Learning · Computer Science 2026-04-14 Andrés Muñoz , Rodrigo Ramele

Deep learning systems, critical in domains like autonomous vehicles, are vulnerable to adversarial examples (crafted inputs designed to mislead classifiers). This study investigates black-box adversarial attacks in computer vision. This is…

Cryptography and Security · Computer Science 2025-06-09 Francesco Panebianco , Mario D'Onghia , Stefano Zanero aand Michele Carminati
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