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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…

计算机科学与博弈论 · 计算机科学 2024-01-24 Dipankar Maity , Alexander Von Moll , Daigo Shishika , Michael Dorothy

The pursuit-evasion game is studied for two adversarial active agents, modelled as a deterministic self-steering pursuer and a stochastic, cognitive evader. The pursuer chases the evader by reorienting its propulsion direction with limited…

生物物理 · 物理学 2026-05-29 Segun Goh , Dennis Haustein , Gerhard Gompper

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…

最优化与控制 · 数学 2016-11-16 Rui Zou , Hamid Emadi , Sourabh Bhattacharya

We study driver's optimal trajectory planning under uncertainty in the duration of a traffic light's green phase. We interpret this as an optimal control problem with an objective of minimizing the expected cost based on the fuel use,…

最优化与控制 · 数学 2022-01-13 Mallory E. Gaspard , Alexander Vladimirsky

We present a method for pursuit/evasion that is highly efficient and and scales to large teams of aircraft. The underlying algorithm is an efficient algorithm for solving Markov Decision Processes (MDPs) that supports fully continuous state…

人工智能 · 计算机科学 2019-09-11 Joshua R. Bertram , Peng Wei

In this paper, we propose a novel model predictive control (MPC) framework for output tracking that deals with partially unknown constraints. The MPC scheme optimizes over a learning and a backup trajectory. The learning trajectory aims to…

最优化与控制 · 数学 2022-05-10 Raffaele Soloperto , Ali Mesbah , Frank Allgöwer

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…

最优化与控制 · 数学 2023-10-03 Braulio Mora , Alexander Von Moll , Isaac Weintraub , David Casbeer , Animesh Chakravarthy

This paper considers a pursuit-evasion scenario among three agents -- an evader, a pursuer, and a defender. We design cooperative guidance laws for the evader and the defender team to safeguard the evader from an attacking pursuer. Unlike…

系统与控制 · 电气工程与系统科学 2022-01-19 Abhinav Sinha , Shashi Ranjan Kumar , Dwaipayan Mukherjee

Given a mapped environment, we formulate the problem of visually tracking and following an evader using a probabilistic framework. In this work, we consider a non-holonomic robot with a limited visibility depth sensor in an indoor…

机器人学 · 计算机科学 2019-04-23 Varun Chandra Jammula , Anshul Rai , Yezhou Yang

This paper investigates a pursuit-evasion problem involving three agents: a pursuer, an evader, and a defender. Cooperative guidance laws are developed for the evader-defender team that guarantee interception of the pursuer by the defender…

系统与控制 · 电气工程与系统科学 2025-09-16 Saurabh Kumar , Shashi Ranjan Kumar , Abhinav Sinha

This paper studies a 3D multiplayer reach-avoid differential game with a goal region and a play region. Multiple pursuers defend the goal region by consecutively capturing multiple evaders in the play region. The players have heterogeneous…

最优化与控制 · 数学 2020-02-17 Rui Yan , Xiaoming Duan , Zongying Shi , Yisheng Zhong , Francesco Bullo

We study a pursuit-evasion game between a double integrator-driven pursuer with bounded velocity and bounded acceleration and a single integrator-driven evader with bounded velocity in a two-dimensional plane. The pursuer's goal is to…

系统与控制 · 电气工程与系统科学 2025-08-05 Zehua Zhao , Rui Yan , Jianping He , Xinping Guan , Xiaoming Duan

This paper introduces a novel methodology that leverages the Hamilton-Jacobi solution to enhance non-linear model predictive control (MPC) in scenarios affected by navigational uncertainty. Using Hamilton-Jacobi-Theoretic approach, a…

最优化与控制 · 数学 2025-04-01 Amit Jain , Roshan T. Eapen , Puneet Singla

Catching flying objects with a cushioning process is a skill commonly performed by humans, yet it remains a significant challenge for robots. In this paper, we present a framework that combines optimization and learning to achieve compliant…

机器人学 · 计算机科学 2025-09-19 Bingjie Chen , Keyu Fan , Qi Yang , Yi Cheng , Houde Liu , Kangkang Dong , Chongkun Xia , Liang Han , Bin Liang

A prey animal surveying its environment must decide whether there is a dangerous predator present or not. If there is, it may flee. Flight has an associated cost, so the animal should not flee if there is no danger. However, the prey animal…

种群与进化 · 定量生物学 2011-04-20 Joel Zylberberg , Michael R. DeWeese

Optimization-based approaches such as Model Predictive Control (MPC) are promising approaches in proactive control for safety-critical applications with changing environments such as automated driving systems. However, the computational…

系统与控制 · 电气工程与系统科学 2024-10-22 Leila Gharavi , Bart De Schutter , Simone Baldi

This paper studies a pursuit-evasion problem involving a single pursuer and a single evader, where we are interested in developing a pursuit strategy that doesn't require continuous, or even periodic, information about the position of the…

系统与控制 · 计算机科学 2016-01-20 Saad A. Aleem , Cameron Nowzari , George J. Pappas

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…

系统与控制 · 电气工程与系统科学 2020-05-19 Xu Fang , Chen Wang , Lihua Xie , Jie Chen

We consider a task of surveillance-evading path-planning in a continuous setting. An Evader strives to escape from a 2D domain while minimizing the risk of detection (and immediate capture). The probability of detection is path-dependent…

机器学习 · 计算机科学 2023-02-24 Dongping Qi , David Bindel , Alexander Vladimirsky

We consider a problem of cooperative evasion between a single pursuer and multiple evaders in which the evaders are constrained to move in the positive Y direction. The evaders are slower than the vehicle and can choose their speeds from a…

系统与控制 · 电气工程与系统科学 2021-07-06 Shivam Bajaj , Eloy Garcia , Shaunak D. Bopardikar
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