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Koopman analysis provides a general framework from which to analyze a nonlinear dynamical system in terms of a linear operator acting on an infinite-dimensional observable space. This theoretical framework provides a rigorous underpinning…

Dynamical Systems · Mathematics 2022-10-11 Dan Wilson

We exploit the key idea that nonlinear system identification is equivalent to linear identification of the socalled Koopman operator. Instead of considering nonlinear system identification in the state space, we obtain a novel linear…

Systems and Control · Computer Science 2016-08-30 Alexandre Mauroy , Jorge Goncalves

Semidefinite programming (SDP) is a powerful tool for tackling a wide range of computationally hard problems such as clustering. Despite the high accuracy, semidefinite programs are often too slow in practice with poor scalability on large…

Machine Learning · Statistics 2022-02-10 Yubo Zhuang , Xiaohui Chen , Yun Yang

Joint optimization of poses and features has been extensively studied and demonstrated to yield more accurate results in feature-based SLAM problems. However, research on jointly optimizing poses and non-feature-based maps remains limited.…

Robotics · Computer Science 2025-07-14 Yingyu Wang , Liang Zhao , Shoudong Huang

Data-driven safety verification of robotic systems often relies on zonotopic reachability analysis due to its scalability and computational efficiency. However, for nonlinear systems, these methods can become overly conservative, especially…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Alireza Naderi Akhormeh , Ahmad Hafez , Abdulla Fawzy , Amr Alanwar

This paper addresses the Kidnapped Robot Problem (KRP), a core localization challenge of relocalizing a robot in a known map without prior pose estimate upon localization loss or at SLAM initialization. For this purpose, a passive 2-D…

Robotics · Computer Science 2026-05-21 Muhua Zhang , Lei Ma , Ying Wu , Kai Shen , Deqing Huang , Henry Leung

Recent work has shown impressive localization performance using only images of ground textures taken with a downward facing monocular camera. This provides a reliable navigation method that is robust to feature sparse environments and…

Robotics · Computer Science 2023-03-13 Kyle M. Hart , Brendan Englot , Ryan P. O'Shea , John D. Kelly , David Martinez

LiDAR-based SLAM is recognized as one effective method to offer localization guidance in rough environments. However, off-the-shelf LiDAR-based SLAM methods suffer from significant pose estimation drifts, particularly components relevant to…

Robotics · Computer Science 2025-01-07 Yinchuan Wang , Bin Ren , Xiang Zhang , Pengyu Wang , Chaoqun Wang , Rui Song , Yibin Li , Max Q. -H. Meng

LiDAR sensors are a powerful tool for robot simultaneous localization and mapping (SLAM) in unknown environments, but the raw point clouds they produce are dense, computationally expensive to store, and unsuited for direct use by downstream…

Robotics · Computer Science 2022-10-03 Adam Dai , Greg Lund , Grace Gao

Koopman-based lifted linear identification have been widely used for data-driven prediction and model predictive control (MPC) of nonlinear systems. It has found applications in flow-control, soft robotics, and unmanned aerial vehicles…

Systems and Control · Electrical Eng. & Systems 2025-01-15 Shahab Ataei , Dipankar Maity , Debdipta Goswami

Accurate localization is an essential technology for the flexible navigation of robots in large-scale environments. Both SLAM-based and map-based localization will increase the computing load due to the increase in map size, which will…

Robotics · Computer Science 2024-04-30 Yixiao Feng , Zhou Jiang , Yongliang Shi , Yunlong Feng , Xiangyu Chen , Hao Zhao , Guyue Zhou

SLAM is a fundamental component of modern autonomous systems, providing robots and their operators with a deeper understanding of their environment. SLAM systems often encounter challenges due to the dynamic nature of robotic motion,…

Robotics · Computer Science 2025-04-29 Leon Davies , Baihua Li , Mohamad Saada , Simon Sølvsten , Qinggang Meng

As autonomous systems increasingly rely on onboard sensing for localization and perception, the parallel tasks of motion planning and state estimation become more strongly coupled. This coupling is well-captured by augmenting the planning…

Robotics · Computer Science 2020-09-14 Kristoffer M. Frey , Ted J. Steiner , Jonathan P. How

Accurate 3D point cloud map generation is a core task for various robot missions or even for data-driven urban analysis. To do so, light detection and ranging (LiDAR) sensor-based simultaneous localization and mapping (SLAM) technology have…

Robotics · Computer Science 2022-01-19 Giseop Kim , Seungsang Yun , Jeongyun Kim , Ayoung Kim

Many visual simultaneous localization and mapping (SLAM) systems have been shown to be accurate and robust, and have real-time performance capabilities on both indoor and ground datasets. However, these methods can be problematic when…

Computer Vision and Pattern Recognition · Computer Science 2020-07-30 Zongqian Zhan , Wenjie Jian , Yihui Li , Xin Wang , Yang Yue

While visual localization or SLAM has witnessed great progress in past decades, when deploying it on a mobile robot in practice, few works have explicitly considered the kinematic (or dynamic) constraints of the real robotic system when…

Robotics · Computer Science 2019-11-15 Xingxing Zuo , Mingming Zhang , Yiming Chen , Yong Liu , Guoquan Huang , Mingyang Li

Simultaneous Localization and Mapping (SLAM) is considered an ever-evolving problem due to its usage in many applications. Evaluation of SLAM is done typically using publicly available datasets which are increasing in number and the level…

Robotics · Computer Science 2023-03-02 Islam Ali , Hong Zhang

Dynamic Mode Decomposition (DMD) and its variants, such as extended DMD (EDMD), are broadly used to fit simple linear models to dynamical systems known from observable data. As DMD methods work well in several situations but perform poorly…

Dynamical Systems · Mathematics 2024-08-06 George Haller , Bálint Kaszás

Accurate estimation of the environment structure simultaneously with the robot pose is a key capability of autonomous robotic vehicles. Classical simultaneous localization and mapping (SLAM) algorithms rely on the static world assumption to…

Robotics · Computer Science 2018-05-11 Mina Henein , Gerard Kennedy , Viorela Ila , Robert Mahony

Search and rescue with a team of heterogeneous mobile robots in unknown and large-scale underground environments requires high-precision localization and mapping. This crucial requirement is faced with many challenges in complex and…

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