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We present an optimization-based method to plan the motion of an autonomous robot under the uncertainties associated with dynamic obstacles, such as humans. Our method bounds the marginal risk of collisions at each point in time by…

Robotics · Computer Science 2021-03-24 O. de Groot , B. Brito , L. Ferranti , D. Gavrila , J. Alonso-Mora

We consider optimal route planning when the objective function is a general nonlinear and non-monotonic function. Such an objective models user behavior more accurately, for example, when a user is risk-averse, or the utility function needs…

Data Structures and Algorithms · Computer Science 2015-11-24 Ger Yang , Evdokia Nikolova

This paper studies a class of approach-evasion differential games, in which one player aims to steer the state of a dynamic system to the given target set in minimum time, while avoiding some set of disallowed states, and the other player…

Optimization and Control · Mathematics 2013-10-01 Erich Mueller , Minghui Zhu , Sertac Karaman , Emilio Frazzoli

Autonomous driving faces significant challenges in achieving human-like iterative decision-making, which continuously generates, evaluates, and refines trajectory proposals. Current generation-evaluation frameworks isolate trajectory…

Pursuing a drifting target in a turbulent flow is an extremely difficult task whenever the searcher has limited propulsion and maneuvering capabilities. Even in the case when the relative distance between pursuer and target stays below the…

Fluid Dynamics · Physics 2023-10-02 Chiara Calascibetta , Luca Biferale , Francesco Borra , Antonio Celani , Massimo Cencini

This paper presents a continuous-time optimal control framework for the generation of reference trajectories in driving scenarios with uncertainty. A previous work presented a discrete-time stochastic generator for autonomous vehicles;…

Optimization and Control · Mathematics 2026-03-17 Ange Valli , Shangyuan Zhang , Abdel Lisser

The problem of continuous inverse optimal control (over finite time horizon) is to learn the unknown cost function over the sequence of continuous control variables from expert demonstrations. In this article, we study this fundamental…

Machine Learning · Computer Science 2022-04-20 Yifei Xu , Jianwen Xie , Tianyang Zhao , Chris Baker , Yibiao Zhao , Ying Nian Wu

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…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Zehua Zhao , Rui Yan , Jianping He , Xinping Guan , Xiaoming Duan

A defender dispatches patrollers to circumambulate a perimeter to guard against potential attacks. The defender decides on the time points to dispatch patrollers and each patroller's direction and speed, as long as the long-run rate…

Optimization and Control · Mathematics 2020-11-10 Kyle Y Lin

Stochastic shortest path (SSP) is a well-known problem in planning and control, in which an agent has to reach a goal state in minimum total expected cost. In this paper we present the adversarial SSP model that also accounts for…

Machine Learning · Computer Science 2022-04-06 Aviv Rosenberg , Yishay Mansour

We present a novel approach for risk-aware planning with human agents in multi-agent traffic scenarios. Our approach takes into account the wide range of human driver behaviors on the road, from aggressive maneuvers like speeding and…

Robotics · Computer Science 2022-05-03 Rohan Chandra , Mingyu Wang , Mac Schwager , Dinesh Manocha

If we give a robot the task of moving an object from its current position to another location in an unknown environment, the robot must explore the map, identify all types of obstacles, and then determine the best route to complete the…

Robotics · Computer Science 2022-08-22 Saeid Alirezazadeh , Luís A. Alexandre

This paper studies a system security problem in the context of observability based on a two-person noncooperative infinitely repeated game. Both the attacker and the defender have means to modify the dimension of the unobservable subspace,…

Optimization and Control · Mathematics 2025-06-11 Yueyue Xu , Panpan Zhou , Lin Wang , Zhixin Liu , Xiaoming Hu

Probabilistic control design is founded on the principle that a rational agent attempts to match modelled with an arbitrary desired closed-loop system trajectory density. The framework was originally proposed as a tractable alternative to…

Machine Learning · Computer Science 2023-11-16 Tom Lefebvre

In this paper, we consider a hierarchical control problem with model uncertainty. Specifically, we consider the following objectives that we would like to accomplish. The first one being of a controllability-type that consists of…

Optimization and Control · Mathematics 2015-10-14 Getachew K. Befekadu , Eduardo L. Pasiliao

One of the critical challenges in automated driving is ensuring safety of automated vehicles despite the unknown behavior of the other vehicles. Although motion prediction modules are able to generate a probability distribution associated…

Systems and Control · Electrical Eng. & Systems 2024-03-28 Luyao Zhang , George Pantazis , Shaohang Han , Sergio Grammatico

Robots and autonomous systems must interact with one another and their environment to provide high-quality services to their users. Dynamic game theory provides an expressive theoretical framework for modeling scenarios involving multiple…

This paper addresses path planning of an unmanned aerial vehicle (UAV) with remote sensing capabilities (or wireless communication capabilities). The goal of the path planning is to find a minimum-flight-time closed tour of the UAV visiting…

Robotics · Computer Science 2016-12-20 Dae-Sung Jang , Hyeok-Joo Chae , Han-Lim Choi

Continuous optimization based motion planners require specifying a maneuver class before calculating the optimal trajectory for that class. In traffic, the intentions of other participants are often unclear, presenting multiple maneuver…

Robotics · Computer Science 2024-10-10 Ömer Şahin Taş , Philipp Heinrich Brusius , Christoph Stiller

Adversarial machine learning challenges the assumption that the underlying distribution remains consistent throughout the training and implementation of a prediction model. In particular, adversarial evasion considers scenarios where…

Machine Learning · Computer Science 2025-12-02 David Benfield , Phan Tu Vuong , Alain Zemkoho