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The active target defense differential game is addressed in this paper. In this differential game an Attacker missile pursues a Target aircraft. The aircraft is however aided by a Defender missile launched by, say, the wingman, to intercept…

Optimization and Control · Mathematics 2015-04-30 Eloy Garcia , David W. Casbeer , Meir Pachter

In the Target-Attacker-Defender (TAD) differential game, an Attacker missile strives to capture a Target aircraft. The Target tries to escape the Attacker and is aided by a Defender missile which aims at intercepting the Attacker before the…

Optimization and Control · Mathematics 2020-02-12 Eloy Garcia , David W. Casbeer , Meir Pachter

A scenario is considered wherein a stationary, turn constrained agent (Turret) and a mobile agent (Defender) cooperate to protect the former from an adversarial mobile agent (Attacker). The Attacker wishes to reach the Turret prior to…

Systems and Control · Electrical Eng. & Systems 2025-09-15 Alexander Von Moll , Dipankar Maity , Meir Pachter , Daigo Shishika , Michael Dorothy

In this paper we consider a Target-guarding differential game where the Defender must protect a linearly moving line segment by intercepting the Attacker who tries to reach it. In contrast to common Target-guarding problems, we assume that…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Goutam Das , Daigo Shishika

This paper studies a target-defense game played between a slow defender and a fast attacker. The attacker wins the game if it reaches the target while avoiding the defender's capture disk. The defender wins the game by preventing the…

Systems and Control · Electrical Eng. & Systems 2024-03-19 Goutam Das , Michael Dorothy , Zachary I. Bell , Daigo Shishika

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 variant of pursuit-evasion games where a single defender is tasked to defend a static target from a sequence of periodically arriving intruders. The intruders' objective is to breach the boundary of a circular target without…

Optimization and Control · Mathematics 2023-03-13 Arman Pourghorban , Dipankar Maity

In this paper we consider a target-guarding differential game where the defender must protect a linearly translating line-segment by intercepting an attacker who tries to reach it. In contrast to common target-guarding problems, we assume…

Systems and Control · Electrical Eng. & Systems 2022-09-21 Goutam Das , Michael Dorothy , Zachary I. Bell , Daigo Shishika

In this paper, we consider a target defense game in which the attacker team seeks to reach a high-value target while the defender team seeks to prevent that by capturing them away from the target. To address the curse of dimensionality, a…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Goutam Das , Violetta Rostobaya , James Berneburg , Zachary I. Bell , Michael Dorothy , Daigo Shishika

We consider a variant of the target defense problem in a planar conical environment where a single defender is tasked to capture a sequence of incoming attackers. The attackers' objective is to breach the target boundary without being…

Systems and Control · Electrical Eng. & Systems 2025-09-18 Arman Pourghorban , Dipankar Maity

Can deception exist in differential games? We provide a case study for a Turret-Attacker differential game, where two Attackers seek to score points by reaching a target region while a Turret tries to minimize the score by aligning itself…

Computer Science and Game Theory · Computer Science 2024-05-14 Daigo Shishika , Alexander Von Moll , Dipankar Maity , Michael Dorothy

This paper studies a variant of multi-player reach-avoid game played between intruders and defenders. The intruder team tries to score by sending as many intruders as possible to the target area, while the defender team tries to minimize…

Systems and Control · Electrical Eng. & Systems 2021-05-04 Daigo Shishika , Vijay Kumar

We study a multi-body asset-guarding game in missile defense where teams of interceptor missiles collaborate to defend a non-manuevering asset against a group of threat missiles. We approach the problem in two steps. We first formulate an…

Systems and Control · Electrical Eng. & Systems 2020-05-26 Emmanuel Sin , Murat Arcak , Andrew Packard , Douglas Philbrick , Peter Seiler

This letter employs differential game theory to address the defense problem of a circular target area with perception constraints, involving a single defender and a single attacker. The defender is restricted to moving along the perimeter,…

Optimization and Control · Mathematics 2025-09-16 Xinyi Zhu , Jiali Wang , Yang Tang , Fangfei Li , Yan Zhu

Moving target defense (MTD) is a proactive defense approach that aims to thwart attacks by continuously changing the attack surface of a system (e.g., changing host or network configurations), thereby increasing the adversary's uncertainty…

Cryptography and Security · Computer Science 2020-08-21 Taha Eghtesad , Yevgeniy Vorobeychik , Aron Laszka

We consider a variant of the target defense problem where a single defender is tasked to capture a sequence of incoming intruders. The intruders' objective is to breach the target boundary without being captured by the defender. As soon as…

Robotics · Computer Science 2022-12-14 Arman Pourghorban , Michael Dorothy , Daigo Shishika , Alexander Von Moll , Dipankar Maity

We study a variant of pursuit-evasion game in the context of perimeter defense. In this problem, the intruder aims to reach the base plane of a hemisphere without being captured by the defender, while the defender tries to capture the…

Robotics · Computer Science 2021-01-01 Elijah S. Lee , Daigo Shishika , Vijay Kumar

The Fighter problem with discrete ammunition is studied. An aircraft (fighter) equipped with $n$ anti-aircraft missiles is intercepted by enemy airplanes, the appearance of which follows a homogeneous Poisson process with known intensity.…

Probability · Mathematics 2011-07-27 Jay Bartroff , Ester Samuel-Cahn

In this paper, we study a Target-Attacker-Defender (TAD) differential game involving one attacker, one target and multiple defenders. We consider two variations where (a) the attacker and the target have unlimited observation range and the…

Systems and Control · Electrical Eng. & Systems 2022-09-16 Sharad Kumar Singh , Puduru Viswanadha Reddy

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
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