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This paper presents a novel strategy for a multi-agent pursuit-evasion game involving multiple faster pursuers with heterogenous speeds and a single slower evader. We define a geometric region, the evader's safe-reachable set, as the…

Multiagent Systems · Computer Science 2025-11-24 Kamal Mammadov , Damith C. Ranasinghe

In this paper, we investigate a pursuit-evasion game in which a mobile observer tries to track a target in an environment containing obstacles. We formulate the game as an optimal control problem with state inequality constraint in a simple…

Optimization and Control · Mathematics 2016-11-16 Rui Zou , Hamid Emadi , Sourabh Bhattacharya

We study security games in which a defender commits to a mixed strategy for protecting a finite set of targets of different values. An attacker, knowing the defender's strategy, chooses which target to attack and for how long. If the…

Computer Science and Game Theory · Computer Science 2018-04-24 David Kempe , Leonard J. Schulman , Omer Tamuz

We propose a hybrid approach that combines Hamilton-Jacobi (HJ) reachability and mixed-integer optimization for solving a reach-avoid game with multiple attackers and defenders. The reach-avoid game is an important problem with potential…

Systems and Control · Electrical Eng. & Systems 2023-09-26 Hanyang Hu , Minh Bui , Mo Chen

In the prior literature on multi-agent area defense games, the assignments of the defenders to the attackers are done based on a cost metric associated only with the interception of the attackers. In contrast to that, this paper presents an…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Vishnu S. Chipade , Xinyi Wang , Dimitra Panagou

Patrolling is one of the central problems in operational security. Formally, a patrolling problem is specified by a set $U$ of nodes (admissible defender's positions), a set $T \subseteq U$ of vulnerable targets, an admissible defender's…

Computer Science and Game Theory · Computer Science 2016-08-08 Tomáš Brázdil , Petr Hliněný , Antonín Kučera , Vojtěch Řehák , Matúš Abaffy

This paper presents an input-constrained nonlinear guidance law to address the problem of intercepting a stationary target in contested environments with multiple defending agents. Contrary to prior approaches that rely on explicit…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Praveen Kumar Ranjan , Abhinav Sinha , Yongcan Cao

Moving Target Defense (MTD) has emerged as a key technique in various security applications as it takes away the attacker's ability to perform reconnaissance for exploiting a system's vulnerabilities. However, most of the existing research…

Computer Science and Game Theory · Computer Science 2023-01-25 Vignesh Viswanathan , Megha Bose , Praveen Paruchuri

This paper explores a multi-agent containment problem, where a fast evader, modeled having constant speed and using constant heading, attempts to escape a circular containment region that is orbited by a slower pursuer with a nonzero…

Optimization and Control · Mathematics 2023-10-03 Braulio Mora , Alexander Von Moll , Isaac Weintraub , David Casbeer , Animesh Chakravarthy

This paper proposes a game-theoretic approach to address the problem of optimal sensor placement for detecting cyber-attacks in networked control systems. The problem is formulated as a zero-sum game with two players, namely a malicious…

Optimization and Control · Mathematics 2022-05-30 Anh Tung Nguyen , André M. H. Teixeira , Alexander Medvedev

The generation of feasible adversarial examples is necessary for properly assessing models that work in constrained feature space. However, it remains a challenging task to enforce constraints into attacks that were designed for computer…

Artificial Intelligence · Computer Science 2022-05-04 Thibault Simonetto , Salijona Dyrmishi , Salah Ghamizi , Maxime Cordy , Yves Le Traon

We consider a perimeter defense problem in which a single vehicle seeks to defend a compact region from intruders in a one-dimensional environment parameterized by the perimeter size and the intruder-to-vehicle speed ratio. The intruders…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Shivam Bajaj , Eric Torng , Shaunak D. Bopardikar

We address a problem of area protection in graph-based scenarios with multiple mobile agents where connectivity is maintained among agents to ensure they can communicate. The problem consists of two adversarial teams of agents that move in…

Multiagent Systems · Computer Science 2017-09-06 Marika Ivanová , Pavel Surynek , Diep Thi Ngoc Nguyen

This paper addresses a multi-pursuer single-evader pursuit-evasion game where the free-moving evader moves faster than the pursuers. Most of the existing works impose constraints on the faster evader such as limited moving area and moving…

Systems and Control · Electrical Eng. & Systems 2020-05-19 Xu Fang , Chen Wang , Lihua Xie , Jie Chen

We consider a path guarding problem in dynamic Defender-Attacker Blotto games (dDAB), where a team of robots must defend a path in a graph against adversarial agents. Multi-robot systems are particularly well suited to this application, as…

Computer Science and Game Theory · Computer Science 2023-05-29 Austin K. Chen , Bryce L. Ferguson , Daigo Shishika , Michael Dorothy , Jason R. Marden , George J. Pappas , Vijay Kumar

Reactive defense mechanisms, such as intrusion detection systems, have made significant efforts to secure a system or network for the last several decades. However, the nature of reactive security mechanisms has limitations because…

Networking and Internet Architecture · Computer Science 2019-09-19 Jin-Hee Cho , Dilli P. Sharma , Hooman Alavizadeh , Seunghyun Yoon , Noam Ben-Asher , Terrence J. Moore , Dong Seong Kim , Hyuk Lim , Frederica F. Nelson

This paper studies the problem of multi-robot pursuit of how to coordinate a group of defending robots to capture a faster attacker before it enters a protected area. Such operation for defending robots is challenging due to the unknown…

Robotics · Computer Science 2024-11-01 Jinyong Chen , Rui Zhou , Zhaozong Wang , Yunjie Zhang , Guibin Sun

This paper investigates obstacle-free simple motion pursuit-evasion problems where the pursuer is faster and game termination is point capture. It is well known that the interior of the Apollonius Circle (AC) is the evader's dominance…

Optimization and Control · Mathematics 2022-03-24 Michael Dorothy , Dipankar Maity , Daigo Shishika , Alexander Von Moll

This paper studies a defense approach against one or more swarms of adversarial agents. In our earlier work, we employ a closed formation (`StringNet') of defending agents (defenders) around a swarm of adversarial agents (attackers) to…

Multiagent Systems · Computer Science 2020-07-10 Vishnu S. Chipade , Dimitra Panagou

We study a simple motion differential game of many pursuers and one evader in the plane. We give a nonempty closed convex set in the plane, and the pursuers and evader move on this set. They cannot leave this set during the game. Control…

Optimization and Control · Mathematics 2015-05-04 Idham Arif Alias , Gafurjan Ibragimov , Massimiliano Ferrara , Mehdi Salimi , Mansor Monsi