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In the reinforcement learning literature, strong theoretical guarantees have been obtained for algorithms applicable to LTI systems. However, in the nonlinear case only weaker results have been obtained for algorithms that mostly rely on…

系统与控制 · 电气工程与系统科学 2026-04-01 Victor G. Lopez , Malte Heinrich , Matthias A. Müller

Koopman linear representations have become a popular tool for control design of nonlinear systems, yet it remains unclear when such representations are exact. In this paper, we establish sufficient and necessary conditions under which a…

最优化与控制 · 数学 2026-02-17 Xu Shang , Masih Haseli , Jorge Cortés , Yang Zheng

This paper introduces two new algorithms to accurately estimate the process noise covariance of a discrete-time Kalman filter online for robust orbit determination in the presence of dynamics model uncertainties. Common orbit determination…

信号处理 · 电气工程与系统科学 2021-05-17 Nathan Stacey , Simone D'Amico

Remote state monitoring over wireless is envisaged to play a pivotal role in enabling beyond 5G applications ranging from remote drone control to remote surgery. One key challenge is to identify the system dynamics that is non-linear with a…

机器学习 · 计算机科学 2021-04-19 Abanoub M. Girgis , Hyowoon Seo , Jihong Park , Mehdi Bennis , Jinho Choi

Reinforcement Learning (RL) has made significant strides in various domains, and policy gradient methods like Proximal Policy Optimization (PPO) have gained popularity due to their balance in performance, training stability, and…

机器学习 · 计算机科学 2025-05-21 Andrei Cozma , Landon Harris , Hairong Qi

State estimation is an important aspect in many robotics applications. In this work, we consider the task of obtaining accurate state estimates for robotic systems by enhancing the dynamics model used in state estimation algorithms.…

机器人学 · 计算机科学 2023-02-16 Kong Yao Chee , M. Ani Hsieh

Time-dependent structural reliability analysis of nonlinear dynamical systems is non-trivial; subsequently, scope of most of the structural reliability analysis methods is limited to time-independent reliability analysis only. In this work,…

机器学习 · 统计学 2024-09-21 Navaneeth N. , Souvik Chakraborty

The Koopman operator presents an attractive approach to achieve global linearization of nonlinear systems, making it a valuable method for simplifying the understanding of complex dynamics. While data-driven methodologies have exhibited…

机器学习 · 计算机科学 2025-05-08 Priyam Gupta , Peter J. Schmid , Denis Sipp , Taraneh Sayadi , Georgios Rigas

Over the past decades, the Koopman operator has been widely applied in data-driven control, yet its theoretical foundations remain underexplored. This paper establishes a unified framework to address the robust stabilization problem in…

系统与控制 · 电气工程与系统科学 2025-08-18 Yicheng Lin , Bingxian Wu , Nan Bai , Zhiyong Sun , Yunxiao Ren , Chuanze Chen , Zhisheng Duan

We present KoopCast, a lightweight yet efficient model for trajectory forecasting in general dynamic environments. Our approach leverages Koopman operator theory, which enables a linear representation of nonlinear dynamics by lifting…

机器学习 · 计算机科学 2025-09-22 Jungjin Lee , Jaeuk Shin , Gihwan Kim , Joonho Han , Insoon Yang

In this paper, we propose a novel framework for the joint identification of system dynamics and noise covariance in linear systems, under general noise distributions beyond Gaussian. Specifically, we would like to simultaneously estimate…

系统与控制 · 电气工程与系统科学 2026-04-16 Yang Hu , Na Li

This paper is on learning the Kalman gain by policy optimization method. Firstly, we reformulate the finite-horizon Kalman filter as a policy optimization problem of the dual system. Secondly, we obtain the global linear convergence of…

最优化与控制 · 数学 2023-10-30 Haoran Li , Yuan-Hua Ni

The Koopman operator framework provides a perspective that non-linear dynamics can be described through the lens of linear operators acting on function spaces. As the framework naturally yields linear embedding models, there have been…

最优化与控制 · 数学 2024-12-09 Daisuke Uchida , Karthik Duraisamy

In this paper, we propose time-discounted schemes for full information estimation (FIE) and moving horizon estimation (MHE) that are robustly globally asymptotically stable (RGAS). We consider general nonlinear system dynamics with…

系统与控制 · 电气工程与系统科学 2023-01-20 Sven Knuefer , Matthias A. Mueller

This study introduces a data-driven twin modeling framework based on modern Koopman operator theory, offering a significant advancement over classical modal decomposition by accurately capturing nonlinear dynamics with reduced complexity…

数值分析 · 数学 2025-08-06 D. A. Bistrian

This paper proposes an algorithm that combines Fast Moving Horizon Parameter Estimation and Model Predictive Control subject to an observability constraint designed to ensure a lower bound on the performance of the parameter estimator.…

最优化与控制 · 数学 2023-03-27 Emilien Flayac , Girish Nair , Iman Shames

Adaptive controllers on quadrotors typically rely on estimation of disturbances to ensure robust trajectory tracking. Estimating disturbances across diverse environmental contexts is challenging due to the inherent variability and…

机器人学 · 计算机科学 2025-09-30 Kasra Torshizi , Chak Lam Shek , Khuzema Habib , Guangyao Shi , Pratap Tokekar , Troi Williams

Accurately finding and predicting dynamics based on the observational data with noise perturbations is of paramount significance but still a major challenge presently. Here, for the Hamiltonian mechanics, we propose the Hamiltonian Neural…

数学物理 · 物理学 2024-06-05 Jingdong Zhang , Qunxi Zhu , Wei Lin

This paper presents a unified and scalable framework for predictive and safe autonomous navigation in dynamic transportation environments by integrating model predictive control (MPC) with distributed Koopman operator learning.…

系统与控制 · 电气工程与系统科学 2026-01-06 Ali Azarbahram , Shenyu Liu , Gian Paolo Incremona

We introduce a unified framework that combines nonlinear dynamics, perceptual psychophysics and high frequency haptic rendering to enhance realism in surgical simulation. The interaction of the surgical device with soft tissue is elevated…

机器学习 · 计算机科学 2026-02-19 Rohit Kaushik , Eva Kaushik