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This paper addresses a critical aerial defense challenge in contested airspace, involving three autonomous aerial vehicles -- a hostile drone (the pursuer), a high-value drone (the evader), and a protective drone (the defender). We present…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Shivam Bajpai , Abhinav Sinha , Shashi Ranjan Kumar

This paper studies a two-player game with a quantitative surveillance requirement on an adversarial target moving in a discrete state space and a secondary objective to maximize short-term visibility of the environment. We impose the…

Robotics · Computer Science 2019-11-19 Suda Bharadwaj , Louis Ly , Bo Wu , Richard Tsai , Ufuk Topcu

Traditional game-theoretic research for security applications primarily focuses on the allocation of external protection resources to defend targets. This work puts forward the study of a new class of games centered around strategically…

Computer Science and Game Theory · Computer Science 2024-10-29 Niclas Boehmer , Minbiao Han , Haifeng Xu , Milind Tambe

Pursuit-evasion is a multi-agent sequential decision problem wherein a group of agents known as pursuers coordinate their traversal of a spatial domain to locate an agent trying to evade them. Pursuit evasion problems arise in a number of…

Machine Learning · Computer Science 2018-11-13 Zhen Li , Nicholas J. Meyer , Eric B. Laber , Robert Brigantic

We present a novel algorithm for game-theoretic trajectory planning, tailored for settings in which agents can only observe one another in specific regions of the state space. Such problems arise naturally in the context of multi-robot…

Multiagent Systems · Computer Science 2024-06-18 Kushagra Gupta , David Fridovich-Keil

Unmanned aerial vehicles (UAVs) have become increasingly prevalent in various domains, ranging from military operations to civilian applications. However, the proliferation of UAVs has also given rise to concerns regarding their potential…

Computer Science and Game Theory · Computer Science 2023-06-01 Oleg Malafeyev , Kun Zhang

Reach-avoid differential games play an important role in collision avoidance, motion planning and control of aircrafts, and related applications. The central problem is the computation of the set of initial states from which the ego player…

Optimization and Control · Mathematics 2019-08-06 Bai Xue , Qiuye Wang , Naijun Zhan , Martin Fränzle , Shenghua Feng

This paper addresses the active target defense differential game where an Attacker missile pursues a Target aircraft. A Defender missile is fired by the Target's wingman in order to intercept the Attacker before it reaches the aircraft.…

Optimization and Control · Mathematics 2015-02-11 Eloy Garcia , David W. Casbeer , Meir Pachter

In active visual tracking, it is notoriously difficult when distracting objects appear, as distractors often mislead the tracker by occluding the target or bringing a confusing appearance. To address this issue, we propose a mixed…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Fangwei Zhong , Peng Sun , Wenhan Luo , Tingyun Yan , Yizhou Wang

We consider a pursuit-evasion scenario involving a group of pursuers and a single evader in a two-dimensional unbounded environment. The pursuers aim to capture the evader in finite time while ensuring the evader remains enclosed within the…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Dinesh Patra , Prajakta Surve , Ashish R. Hota , Shaunak D. Bopardikar

An operational relevant conflict between teams of autonomous vehicles in the Beyond Visual Range domain is addressed in this paper. Optimal strategies are designed in order for a team of air interceptors to protect a high value asset and…

Optimization and Control · Mathematics 2020-09-23 Eloy Garcia , David W. Casbeer , Dzung Tran , Meir Pachter

We consider a reach-avoid differential game, in which one of the players aims to steer the system into a target set without violating a set of state constraints, while the other player tries to prevent the first from succeeding; the system…

Optimization and Control · Mathematics 2014-10-30 Jaime F. Fisac , Mo Chen , Claire J. Tomlin , S. Shankar Sastry

We consider a pursuit-evasion problem with a heterogeneous team of multiple pursuers and multiple evaders. Although both the pursuers (robots) and the evaders are aware of each others' control and assignment strategies, they do not have…

Robotics · Computer Science 2021-03-30 Leiming Zhang , Amanda Prorok , Subhrajit Bhattacharya

A defender-attacker-target problem with non-moving target is considered. This problem is modeled by a pursuit-evasion zero-sum differential game with linear dynamics and quadratic cost functional. In this game the pursuer is the defender,…

Optimization and Control · Mathematics 2018-03-06 Vladimir Turetsky , Valery Y. Glizer

Reach-avoid (RA) games have significant applications in security and defense, particularly for unmanned aerial vehicles (UAVs). These problems are inherently challenging due to the need to consider obstacles, consider the adversarial nature…

Systems and Control · Electrical Eng. & Systems 2025-12-30 Minh Bui , Simon Monckton , Mo Chen

This paper investigates a partial-information pursuit evasion game in which the Pursuer has a limited-range sensor to detect the Evader. Given a fixed final time, we derive the optimal evasion strategy for the Evader to maximize its…

Computer Science and Game Theory · Computer Science 2024-01-24 Dipankar Maity , Alexander Von Moll , Daigo Shishika , Michael Dorothy

We consider a variant of the target defense problem where a single defender is tasked to capture a sequence of incoming intruders. Both the defender and the intruders have non-holonomic dynamics. The intruders' objective is to breach the…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Arman Pourghorban , Dipankar Maity

We present a framework that incorporates the idea of bounded rationality into dynamic stochastic pursuit-evasion games. The solution of a stochastic game is characterized, in general, by its (Nash) equilibria in feedback form. However,…

Systems and Control · Electrical Eng. & Systems 2020-03-17 Yue Guan , Dipankar Maity , Christopher M. Kroninger , Panagiotis Tsiotras

We consider a class of pursuit-evasion differential games in which the evader has continuous access to the pursuer's location, but not vice-versa. There is an immobile sensor (e.g., a ground radar station) that can sense the evader's…

Systems and Control · Electrical Eng. & Systems 2023-07-06 Dipankar Maity

In classical works on a planar differential pursuit-evasion game with a faster pursuer, the intercept point resulting from the equilibrium strategies lies on the Apollonius circle. This property was exploited for the construction of the…