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Related papers: Optimal Evasion from a Sensing-Limited Pursuer

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This paper introduces a novel reachability problem for the scenario involving two agents, where one agent follows another agent using a feedback strategy. The geometry of the reachable set for an agent, termed \emph{dependent reachable…

Systems and Control · Electrical Eng. & Systems 2026-03-09 Venkata Ramana Makkapati , Tulasi Ram Vechalapu , Vinodhini Comandur , Seth Hutchinson

There has been substantial progress on finding game-theoretic equilibria. Most of that work has focused on games with finite, discrete action spaces. However, many games involving space, time, money, and other fine-grained quantities have…

Computer Science and Game Theory · Computer Science 2025-10-28 Carlos Martin , Tuomas Sandholm

In this paper we consider stopping problems with partial observation under a general risk-sensitive optimization criterion for problems with finite and infinite time horizon. Our aim is to maximize the certainty equivalent of the stopping…

Optimization and Control · Mathematics 2017-03-29 Nicole Bäuerle , Ulrich Rieder

Estimator algorithms in learning automata are useful tools for adaptive, real-time optimization in computer science and engineering applications. This paper investigates theoretical convergence properties for a special case of estimator…

Machine Learning · Computer Science 2012-09-28 Ryan Martin , Omkar Tilak

We present a simple paradigm for detection of an immobile target by a space-time coupled random walker with a finite lifetime. The motion of the walker is characterized by linear displacements at a fixed speed and exponentially distributed…

Statistical Mechanics · Physics 2015-06-10 D. Campos , E. Abad , V. Méndez , S. B. Yuste , K. Lindenberg

This paper presents an adaptive lookahead pure-pursuit lateral controller for optimizing racing metrics such as lap time, average lap speed, and deviation from a reference trajectory in an autonomous racing scenario. We propose a greedy…

Robotics · Computer Science 2021-11-18 Varundev Sukhil , Madhur Behl

We use Reinforcement Meta-Learning to optimize an adaptive integrated guidance, navigation, and control system suitable for exoatmospheric interception of a maneuvering target. The system maps observations consisting of strapdown seeker…

Systems and Control · Electrical Eng. & Systems 2021-12-14 Brian Gaudet , Roberto Furfaro , Richard Linares , Andrea Scorsoglio

This paper investigates the pursuit-evasion problem of a defensive gun turret and one or more attacking drones. The turret must ``visit" each attacking drone once, as quickly as possible, to defeat the threat. This constitutes a Shortest…

Robotics · Computer Science 2021-07-28 Daniel Biediger , Luben Popov , Aaron T. Becker

An insider is a team member who covertly deviates from the team's optimal collaborative strategy to pursue a private objective while still appearing cooperative. Such an insider may initially behave cooperatively but later switch to selfish…

Optimization and Control · Mathematics 2026-04-01 Gehui Xu , Kaiwen Chen , Zhong-Ping Jiang , Thomas Parisini , Andreas A. Malikopoulos

The problem is area-restricted search for targets using an autonomous mobile sensing platform. Detection is imperfect: the probability of detection depends on the range to the target, while the probability of false detections is non-zero.…

Information Theory · Computer Science 2019-11-12 Branko Ristic , Alex Skvortsov

In this paper we present an optimal control approach modeling fast exit scenarios in pedestrian crowds. In particular we consider the case of a large human crowd trying to exit a room as fast as possible. The motion of every pedestrian is…

Analysis of PDEs · Mathematics 2013-04-19 Martin Burger , Marco Di Francesco , Peter Markowich , Marie-Therese Wolfram

In this paper, we consider a territory guarding game involving pursuers, evaders and a target in an environment that contains obstacles. The goal of the evaders is to capture the target, while that of the pursuers is to capture the evaders…

Artificial Intelligence · Computer Science 2019-10-18 Sagar Verma , Richa Verma , P. B. Sujit

Imagine a tracking agent $P$ who wants to follow a moving target $Q$ in $d$-dimensional Euclidean space. The tracker has access to a noisy location sensor that reports an estimate $\tilde{Q}(t)$ of the target's true location $Q(t)$ at time…

Robotics · Computer Science 2013-12-24 Kyle Klein , Subhash Suri

This study presents a numerical analysis framework for pursuit--evasion differential games under the Stackelberg equilibrium. The Semi-DCNLP method is introduced as an optimization solver for flight path optimization problems formulated…

Optimization and Control · Mathematics 2026-04-21 Kazuhiro Horie

This paper studies, for the first time, the trajectory planning problem in adversarial environments, where the objective is to design the trajectory of a robot to reach a desired final state despite the unknown and arbitrary action of an…

Optimization and Control · Mathematics 2019-10-25 Yin-Chen Liu , Gianluca Bianchin , Fabio Pasqualetti

We study the problem of sensor scheduling for an intrusion detection task. We model this as a two-player zero-sum game over a graph, where the defender (Player 1) seeks to identify the optimal strategy for scheduling sensor orientations to…

Systems and Control · Electrical Eng. & Systems 2025-04-22 Jayanth Bhargav , Shreyas Sundaram , Mahsa Ghasemi

Consider a given planar circular region, in which there is an unknown number of smart mobile evaders. We wish to detect evaders using a line formation of sweeping agents whose total sensing length is predetermined. We propose procedures for…

Multiagent Systems · Computer Science 2023-05-16 Roee M. Francos , Alfred M. Bruckstein

We consider the classic motion planning problem defined over a roadmap in which a vehicle seeks to find an optimal path from a source to a destination in presence of an attacker who can launch attacks on the vehicle over any edge of the…

Computer Science and Game Theory · Computer Science 2022-04-19 Sandeep Banik , Shaunak D. Bopardikar

We describe here a new concept of one group chasing another, called "group chase and escape", by presenting a simple model. We will show that even a simple model can demonstrate rather rich and complex behavior. In particular, there are…

Adaptation and Self-Organizing Systems · Physics 2015-03-13 Atsushi Kamimura , Toru Ohira

This paper studies an attacker against a cyber-physical system (CPS) whose goal is to move the state of a CPS to a target state while ensuring that his or her probability of being detected does not exceed a given bound. The attacker's…

Optimization and Control · Mathematics 2017-03-31 Yuan Chen , Soummya Kar , José M. F. Moura
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