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Neural networks hold great potential to act as approximate models of nonlinear dynamical systems, with the resulting neural approximations enabling verification and control of such systems. However, in safety-critical contexts, the use of…

Machine Learning · Computer Science 2025-09-30 Frederik Baymler Mathiesen , Nikolaus Vertovec , Francesco Fabiano , Luca Laurenti , Alessandro Abate

The paper is concerned with mechanical systems which are controlled by implementing a number of time-dependent, frictionless holonomic constraints. The main novelty is due to the presence of additional non-holonomic constraints. We develop…

Dynamical Systems · Mathematics 2012-08-22 Alberto Bressan , Ke Han , Franco Rampazzo

We consider task and motion planning in complex dynamic environments for problems expressed in terms of a set of Linear Temporal Logic (LTL) constraints, and a reward function. We propose a methodology based on reinforcement learning that…

Robotics · Computer Science 2017-03-24 Chris Paxton , Vasumathi Raman , Gregory D. Hager , Marin Kobilarov

Existing Advanced Driver Assistance Systems primarily focus on the vehicle directly ahead, often overlooking potential risks from following vehicles. This oversight can lead to ineffective handling of high risk situations, such as high…

Robotics · Computer Science 2025-02-25 Dianwei Chen , Yaobang Gong , Xianfeng Yang

Deep reinforcement learning produces robust locomotion policies for legged robots over challenging terrains. To date, few studies have leveraged model-based methods to combine these locomotion skills with the precise control of…

Robotics · Computer Science 2022-01-12 Yuntao Ma , Farbod Farshidian , Takahiro Miki , Joonho Lee , Marco Hutter

In the typical autonomous driving stack, planning and control systems represent two of the most crucial components in which data retrieved by sensors and processed by perception algorithms are used to implement a safe and comfortable…

Robotics · Computer Science 2022-07-06 Paolo Maramotti , Alessandro Paolo Capasso , Giulio Bacchiani , Alberto Broggi

In this paper, we study an affine connection approach to realizing nonholonomic mechanical systems mediated by viscous friction forces with large coefficients, viewed as a singular perturbation of the nonholonomic system. We show that the…

Mathematical Physics · Physics 2024-08-02 Vaughn Gzenda , Robin Chhabra

In this paper, we investigate the problem of enabling a drone to fly through a tilted narrow gap, without a traditional planning and control pipeline. To this end, we propose an end-to-end policy network, which imitates from the traditional…

Robotics · Computer Science 2019-08-06 Jiarong Lin , Luqi Wang , Fei Gao , Shaojie Shen , Fu Zhang

This article establishes the foundation for a new theory of invariant/integral manifolds for non-autonomous dynamical systems. Current rigorous support for dimensional reduction modelling of slow-fast systems is limited by the rare events…

Dynamical Systems · Mathematics 2022-06-01 A. J. Roberts

Deep reinforcement learning (DRL) allows a system to interact with its environment and take actions by training an efficient policy that maximizes self-defined rewards. In autonomous driving, it can be used as a strategy for high-level…

Robotics · Computer Science 2024-07-02 Xibo Li , Shruti Patel , Christof Büskens

We develop data-driven reinforcement learning (RL) control designs for input-affine nonlinear systems. We use Carleman linearization to express the state-space representation of the nonlinear dynamical model in the Carleman space, and…

Systems and Control · Electrical Eng. & Systems 2024-08-09 Jishnudeep Kar , He Bai , Aranya Chakrabortty

Mobile robot navigation in complex and dynamic environments is a challenging but important problem. Reinforcement learning approaches fail to solve these tasks efficiently due to reward sparsities, temporal complexities and…

Robotics · Computer Science 2018-04-30 Xi Chen , Ali Ghadirzadeh , John Folkesson , Patric Jensfelt

Virtual constraints are invariant relations imposed on a control system via feedback as opposed to real physical constraints acting on the system. Nonholonomic systems are mechanical systems with non-integrable constraints on the…

Systems and Control · Electrical Eng. & Systems 2022-07-05 Alexandre Anahory Simoes , Efstratios Stratoglou , Anthony Bloch , Leonardo J. Colombo

Safety validation for Level 4 autonomous vehicles (AVs) is currently bottlenecked by the inability to scale the detection of rare, high-risk long-tail scenarios using traditional rule-based heuristics. We present Deep-Flow, an unsupervised…

Robotics · Computer Science 2026-02-20 Antonio Guillen-Perez

This paper addresses a safe planning and control problem for mobile robots operating in communication- and sensor-limited dynamic environments. In this case the robots cannot sense the objects around them and must instead rely on…

Robotics · Computer Science 2022-09-13 Matthew Cleaveland , Esen Yel , Yiannis Kantaros , Insup Lee , Nicola Bezzo

Autonomous robot navigation systems often rely on hierarchical planning, where global planners compute collision-free paths without considering dynamics, and local planners enforce dynamics constraints to produce executable commands. This…

Robotics · Computer Science 2025-10-14 Yuanjie Lu , Mingyang Mao , Tong Xu , Linji Wang , Xiaomin Lin , Xuesu Xiao

Collision-free, goal-directed navigation in environments containing unknown static and dynamic obstacles is still a great challenge, especially when manual tuning of navigation policies or costly motion prediction needs to be avoided. In…

Robotics · Computer Science 2023-03-03 Jorge de Heuvel , Weixian Shi , Xiangyu Zeng , Maren Bennewitz

Road traffic accidents are a leading cause of fatalities worldwide. In the US, human error causes 94% of crashes, resulting in excess of 7,000 pedestrian fatalities and $500 billion in costs annually. Autonomous Vehicles (AVs) with…

In this paper, we propose a new control design scheme for solving the obstacle avoidance problem for nonlinear driftless control-affine systems. The class of systems under consideration satisfies controllability conditions with iterated Lie…

Optimization and Control · Mathematics 2019-02-08 Victoria Grushkovskaya , Alexander Zuyev

This paper presents a supervised learning method to generate continuous cost-to-go functions of non-holonomic systems directly from the workspace description. Supervision from informative examples reduces training time and improves network…

Robotics · Computer Science 2021-03-23 Jinwook Huh , Daniel D. Lee , Volkan Isler
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