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Finding optimal adversarial attack strategies is an important topic in reinforcement learning and the Markov decision process. Previous studies usually assume one all-knowing coordinator (attacker) for whom attacking different recipient…

Machine Learning · Computer Science 2024-03-05 Ziqing Lu , Guanlin Liu , Lifeng Lai , Weiyu Xu

This paper studies the safe control of very large multi-agent systems via a generalized framework that employs so-called Banach Control Barrier Functions (B-CBFs). Modeling a large swarm as probability distribution over a spatial domain, we…

Optimization and Control · Mathematics 2026-02-06 Xuting Gao , Guillem Pascual , Scott Brown , Sonia Martínez

The perimeter defense game has received interest in recent years as a variant of the pursuit-evasion game. A number of previous works have solved this game to obtain the optimal strategies for defender and intruder, but the derived theory…

Robotics · Computer Science 2021-09-08 Elijah S. Lee , Daigo Shishika , Giuseppe Loianno , Vijay Kumar

In the design of software and cyber-physical systems, security is often perceived as a qualitative need, but can only be attained quantitatively. Especially when distributed components are involved, it is hard to predict and confront all…

Cryptography and Security · Computer Science 2018-03-30 Roberto Vigo , Flemming Nielson , Hanne Riis Nielson

We study an optimal control problem in which both the objective function and the dynamic constraint contain an uncertain parameter. Since the distribution of this uncertain parameter is not exactly known, the objective function is taken as…

Optimization and Control · Mathematics 2016-11-29 Jianxiong Ye , Lei Wang , Changzhi Wu , Jie Sun , Kok Lay Teo , Xiangyu Wang

This paper considers the distributed robust control problems of uncertain linear multi-agent systems with undirected communication topologies. It is assumed that the agents have identical nominal dynamics while subject to different…

Systems and Control · Computer Science 2011-09-20 Zhongkui Li , Zhisheng Duan , Lihua Xie , Xiangdong Liu

Controlling large swarms of robotic agents has many challenges including, but not limited to, computational complexity due to the number of agents, uncertainty in the functionality of each agent in the swarm, and uncertainty in the swarm's…

Systems and Control · Computer Science 2018-10-02 Bryce Doerr , Richard Linares

In large-scale networks, communication links between nodes are easily injected with false data by adversaries. This paper proposes a novel security defense strategy from the perspective of attack detection scheduling to ensure the security…

Systems and Control · Electrical Eng. & Systems 2023-12-19 Yuhan Suo , Senchun Chai , Runqi Chai , Zhong-Hua Pang , Yuanqing Xia , Guo-Ping Liu

Distributed algorithms for multi-agent resource allocation can provide privacy and scalability over centralized algorithms in many cyber-physical systems. However, the distributed nature of these algorithms can render these systems…

Optimization and Control · Mathematics 2020-12-08 Berkay Turan , Cesar A. Uribe , Hoi-To Wai , Mahnoosh Alizadeh

This paper provides a unified view to explain different adversarial attacks and defense methods, \emph{i.e.} the view of multi-order interactions between input variables of DNNs. Based on the multi-order interaction, we discover that…

Machine Learning · Computer Science 2021-11-09 Jie Ren , Die Zhang , Yisen Wang , Lu Chen , Zhanpeng Zhou , Yiting Chen , Xu Cheng , Xin Wang , Meng Zhou , Jie Shi , Quanshi Zhang

Smart grids are vulnerable to cyber-attacks. This paper proposes a game-theoretic approach to evaluate the variations caused by an attacker on the power measurements. Adversaries can gain financial benefits through the manipulation of the…

Machine Learning · Computer Science 2021-06-08 Kian Hamedani , Lingjia Liu , Jithin Jagannath , Yang , Yi

In this paper we examine multi-objective linear programming problems in the face of data uncertainty both in the objective function and the constraints. First, we derive a formula for radius of robust feasibility guaranteeing constraint…

Optimization and Control · Mathematics 2014-02-14 M. A. Goberna , V. Jeyakumar , G. Li , J. Vicente-Pérez

We investigate the scale of attack and defense mathematically in the context of AI's possible effect on cybersecurity. For a given target today, highly scaled cyber attacks such as from worms or botnets typically all fail or all succeed.…

Cryptography and Security · Computer Science 2025-04-29 Andrew J. Lohn

Designing autonomous drone swarms is hampered by a vast design space spanning platform, algorithmic, and numerical-strength choices. We perform large-scale agent-based simulations in three canonical scenarios: swarm-on-swarm battle,…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Abram H. Clark , Liraz Mudrik , Colton Kawamura , Nathan C. Redder , João P. Hespanha , Isaac Kaminer

As we seek to deploy machine learning models beyond virtual and controlled domains, it is critical to analyze not only the accuracy or the fact that it works most of the time, but if such a model is truly robust and reliable. This paper…

Machine Learning · Computer Science 2020-07-07 Samuel Henrique Silva , Peyman Najafirad

State-of-the-art defenses against adversarial patch attacks can now achieve strong certifiable robustness with a marginal drop in model utility. However, this impressive performance typically comes at the cost of 10-100x more inference-time…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Chong Xiang , Tong Wu , Sihui Dai , Jonathan Petit , Suman Jana , Prateek Mittal

This paper investigates the robustness of a novel high-dimensional continuification control method for complex multi-agent systems. We begin by formulating a partial differential equation describing the spatio-temporal density dynamics of…

Systems and Control · Electrical Eng. & Systems 2025-04-10 Gian Carlo Maffettone , Mario di Bernardo , Maurizio Porfiri

This paper targets control problems that exhibit specific safety and performance requirements. In particular, the aim is to ensure that an agent, operating under uncertainty, will at runtime strictly adhere to such requirements. Previous…

Logic in Computer Science · Computer Science 2020-10-09 Stefan Pranger , Bettina Könighofer , Martin Tappler , Martin Deixelberger , Nils Jansen , Roderick Bloem

Ensuring robust decision-making in multi-agent systems is challenging when agents have distinct, possibly conflicting objectives and lack full knowledge of each other's strategies. This is apparent in safety-critical applications such as…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Francesco Bianchin , Robert Lefringhausen , Elisa Gaetan , Samuel Tesfazgi , Sandra Hirche

This letter presents an approach to guarantee online safety of a cyber-physical system under multiple state and input constraints. Our proposed framework, called gatekeeper, recursively guarantees the existence of an infinite-horizon…

Systems and Control · Electrical Eng. & Systems 2025-08-14 Devansh R. Agrawal , Dimitra Panagou