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We consider the safety evaluation of discrete time, stochastic systems over a finite horizon. Therefore, we discuss and link probabilistic invariance with reachability as well as reach-avoid problems. We show how to efficiently compute…

Systems and Control · Electrical Eng. & Systems 2023-04-17 Niklas Schmid , John Lygeros

In this paper, we use the concept of artificial risk fields to predict how human operators control a vehicle in response to upcoming road situations. A risk field assigns a non-negative risk measure to the state of the system in order to…

Machine Learning · Computer Science 2022-09-01 Emily Jensen , Maya Luster , Hansol Yoon , Brandon Pitts , Sriram Sankaranarayanan

This paper works towards unifying two popular approaches in the safety control community: Hamilton-Jacobi (HJ) reachability and Control Barrier Functions (CBFs). HJ Reachability has methods for direct construction of value functions that…

Systems and Control · Electrical Eng. & Systems 2021-10-26 Jason J. Choi , Donggun Lee , Koushil Sreenath , Claire J. Tomlin , Sylvia L. Herbert

Collaborative robotic systems will be a key enabling technology for current and future industrial applications. The main aspect of such applications is to guarantee safety for humans. To detect hazardous situations, current commercially…

Robotics · Computer Science 2022-02-08 Lorena Gril , Philipp Wedenig , Chris Torkar , Ulrike Kleb

Modeling car-following behavior is fundamental to microscopic traffic simulation, yet traditional deterministic models often fail to capture the full extent of variability and unpredictability in human driving. While many modern approaches…

Applications · Statistics 2026-01-30 Chengyuan Zhang , Zhengbing He , Cathy Wu , Lijun Sun

Humanoid robots are machines built with an anthropomorphic shape. Despite decades of research into the subject, it is still challenging to tackle the robot locomotion problem from an algorithmic point of view. For example, these machines…

Robotics · Computer Science 2020-04-28 Stefano Dafarra

There is a growing trend toward AI systems interacting with humans to revolutionize a range of application domains such as healthcare and transportation. However, unsafe human-machine interaction can lead to catastrophic failures. We…

Artificial Intelligence · Computer Science 2024-12-19 Shuyang Dong , Meiyi Ma , Josephine Lamp , Sebastian Elbaum , Matthew B. Dwyer , Lu Feng

Learning-based methods have been successful in solving complex control tasks without significant prior knowledge about the system. However, these methods typically do not provide any safety guarantees, which prevents their use in…

Systems and Control · Computer Science 2018-11-08 Torsten Koller , Felix Berkenkamp , Matteo Turchetta , Andreas Krause

Provable safety is one of the most critical challenges in automated driving. The behavior of numerous traffic participants in a scene cannot be predicted reliably due to complex interdependencies and the indiscriminate behavior of humans.…

Robotics · Computer Science 2019-05-07 Piotr Franciszek Orzechowski , Annika Meyer , Martin Lauer

Motivated by the scalability limitations of Eulerian methods for variational Hamilton-Jacobi-Isaacs (HJI) formulations that provide a least restrictive controller in problems that involve state or input constraints under a worst-possible…

Systems and Control · Electrical Eng. & Systems 2022-06-23 Lekan Molu , Ian Abraham , Sylvia Herbert

A constant-rate multi-mode system is a hybrid system that can switch freely among a finite set of modes, and whose dynamics is specified by a finite number of real-valued variables with mode-dependent constant rates. We introduce and study…

Optimization and Control · Mathematics 2016-10-19 Fabio Somenzi , Behrouz Touri , Ashutosh Trivedi

The safe trajectory planning of intelligent and connected vehicles is a key component in autonomous driving technology. Modeling the environment risk information by field is a promising and effective approach for safe trajectory planning.…

Robotics · Computer Science 2025-07-01 Zeyu Han , Mengchi Cai , Chaoyi Chen , Qingwen Meng , Guangwei Wang , Ying Liu , Qing Xu , Jianqiang Wang , Keqiang Li

Model predictive control allows solving complex control tasks with control and state constraints. However, an optimal control problem must be solved in real-time to predict the future system behavior, which is hardly possible on embedded…

Systems and Control · Electrical Eng. & Systems 2023-04-13 Jan Olucak , Walter Fichter , Torbjørn Cunis

For autonomous agents to successfully operate in real world, the ability to anticipate future motions of surrounding entities in the scene can greatly enhance their safety levels since potentially dangerous situations could be avoided in…

Machine Learning · Computer Science 2019-06-04 Yeping Hu , Wei Zhan , Liting Sun , Masayoshi Tomizuka

Complex tasks require human collaboration since robots do not have enough dexterity. However, robots are still used as instruments and not as collaborative systems. We are introducing a framework to ensure safety in a human-robot…

This paper proposes an algorithm capable of driving a system to follow a piecewise linear trajectory without prior knowledge of the system dynamics. Motivated by a critical failure scenario in which a system can experience an abrupt change…

Robotics · Computer Science 2025-10-06 Taha Shafa , Yiming Meng , Melkior Ornik

We consider the problem of planning trajectories for a group of $N$ vehicles, each aiming to reach its own target set while avoiding danger zones of other vehicles. The analysis of problems like this is extremely important practically,…

Multiagent Systems · Computer Science 2016-03-22 Mo Chen , Jaime F. Fisac , Shankar Sastry , Claire J. Tomlin

Predicting the motion of other road agents enables autonomous vehicles to perform safe and efficient path planning. This task is very complex, as the behaviour of road agents depends on many factors and the number of possible future…

In this paper, we aim at improving human motion prediction during human-robot collaboration in industrial facilities by exploiting contributions from both physical and physiological signals. Improved human-machine collaboration could prove…

Robotics · Computer Science 2019-05-29 Stefano Tortora , Stefano Michieletto , Francesca Stival , Emanuele Menegatti

In this work, we consider how preference models in interactive recommendation systems determine the availability of content and users' opportunities for discovery. We propose an evaluation procedure based on stochastic reachability to…

Information Retrieval · Computer Science 2021-07-05 Mihaela Curmei , Sarah Dean , Benjamin Recht