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We consider an operator-based latent Markov representation of a stochastic nonlinear dynamical system, where the stochastic evolution of the latent state embedded in a reproducing kernel Hilbert space is described with the corresponding…

机器学习 · 计算机科学 2026-05-08 Naichang Ke , Ryogo Tanaka , Yoshinobu Kawahara

In this paper, we investigate a distributed estimation problem for multi-agent systems with state equality constraints (SEC). First, under a time-based consensus communication protocol, applying a modified projection operator and the…

系统与控制 · 计算机科学 2019-03-12 Xingkang He , Chen Hu , Yiguang Hong , Ling Shi , Haitao Fang

Reinforcement learning (RL) models have shown the capability of learning complex behaviors, but quantitatively assessing those behaviors - which is critical for safety assurance and the discovery of novel strategies - is challenging. By…

最优化与控制 · 数学 2026-03-23 William T. Redman

This paper investigates the generalisability of Koopman-based representations for chaotic dynamical systems, focusing on their transferability across prediction and control tasks. Using the Lorenz system as a testbed, we propose a…

机器学习 · 计算机科学 2025-08-27 Kyriakos Hjikakou , Juan Diego Cardenas Cartagena , Matthia Sabatelli

Sparked by the Willems' fundamental lemma, a class of data-driven control methods has been developed for LTI systems. At the same time, the Koopman operator theory attempts to cast a nonlinear control problem into a standard linear one…

系统与控制 · 电气工程与系统科学 2021-03-02 Yingzhao Lian , Renzi Wang , Colin N. Jones

Achieving rapid and time-deterministic stabilization for complex systems characterized by strong nonlinearities and parametric uncertainties presents a significant challenge. Traditional model-based control relies on precise system models,…

系统与控制 · 电气工程与系统科学 2025-07-04 Yue Wu

This paper studies an output feedback stabilization control framework for discrete-time linear systems with stochastic dynamics determined by an independent and identically distributed (i.i.d.) process. The controller is constructed with an…

系统与控制 · 计算机科学 2019-04-11 Yohei Hosoe , Dimitri Peaucelle

This paper aims to deal with the control analysis and synthesis problem of data-driven learning, regardless of unknown plant models and iteration-varying uncertainties. For the tracking of any desired target, a Kalman state-space approach…

系统与控制 · 电气工程与系统科学 2020-12-11 Deyuan Meng

This paper presents a novel learning framework to construct Koopman eigenfunctions for unknown, nonlinear dynamics using data gathered from experiments. The learning framework can extract spectral information from the full nonlinear…

系统与控制 · 电气工程与系统科学 2020-03-19 Carl Folkestad , Daniel Pastor , Igor Mezic , Ryan Mohr , Maria Fonoberova , Joel Burdick

The Koopman autoencoder, a data-driven technique, has gained traction for modeling nonlinear dynamics using deep learning methods in recent years. Given the linear characteristics inherent to the Koopman operator, controlling its…

机器学习 · 计算机科学 2024-08-22 Jinho Choi , Sivaram Krishnan , Jihong Park

Recently, learning-based semantic communication (SemCom) has emerged as a promising approach in the upcoming 6G network and researchers have made remarkable efforts in this field. However, existing works have yet to fully explore the…

信号处理 · 电气工程与系统科学 2024-04-01 Shunpu Tang , Qianqian Yang , Deniz Gündüz , Zhaoyang Zhang

This paper presents a study of the Koopman operator theory and its application to optimal control of a multi-robot system. The Koopman operator, while operating on a set of observation functions of the state vector of a nonlinear system,…

系统与控制 · 电气工程与系统科学 2023-05-09 Gang Tao , Qianhong Zhao

Low dimensional representations of words allow accurate NLP models to be trained on limited annotated data. While most representations ignore words' local context, a natural way to induce context-dependent representations is to perform…

机器学习 · 统计学 2015-06-02 David Belanger , Sham Kakade

Semantic communication (SC) is an emerging intelligent paradigm, offering solutions for various future applications like metaverse, mixed reality, and the Internet of Everything. However, in current SC systems, the construction of the…

人工智能 · 计算机科学 2024-08-06 Feibo Jiang , Yubo Peng , Li Dong , Kezhi Wang , Kun Yang , Cunhua Pan , Xiaohu You

Underwater communication is essential for environmental monitoring, marine biology research, and underwater exploration. Traditional underwater communication faces limitations like low bandwidth, high latency, and susceptibility to noise,…

计算机视觉与模式识别 · 计算机科学 2024-08-27 Weilong Chen , Wenxuan Xu , Haoran Chen , Xinran Zhang , Zhijin Qin , Yanru Zhang , Zhu Han

Koopman operator theory has found significant success in learning models of complex, real-world dynamical systems, enabling prediction and control. The greater interpretability and lower computational costs of these models, compared to…

动力系统 · 数学 2025-01-08 William T. Redman , Dean Huang , Maria Fonoberova , Igor Mezić

Controlling robots with strongly nonlinear, high-dimensional dynamics remains challenging, as direct nonlinear optimization with safety constraints is often intractable in real time. The Koopman operator offers a way to represent nonlinear…

机器人学 · 计算机科学 2026-03-20 Sebin Jung , Abulikemu Abuduweili , Jiaxing Li , Changliu Liu

The control properties of discrete-time switched linear systems (SLS) with switching signals generated by logical dynamic systems are studied using the semi-tensor product (STP) approach. With the algebraic state space representation…

系统与控制 · 电气工程与系统科学 2024-01-08 Xiao Zhang , Min Meng , Zhengping Ji

The Koopman operator provides a powerful framework for representing the dynamics of general nonlinear dynamical systems. Data-driven techniques to learn the Koopman operator typically assume that the chosen function space is closed under…

机器学习 · 统计学 2025-02-06 Boya Hou , Sina Sanjari , Nathan Dahlin , Alec Koppel , Subhonmesh Bose

Token communications (TokCom) is an emerging generative semantic communication concept that reduces transmission rates by using context and multimodal large language model (MLLM)-based token processing, with tokens serving as universal…

信息论 · 计算机科学 2025-09-11 Li Qiao , Mahdi Boloursaz Mashhadi , Zhen Gao , Robert Schober , Deniz Gündüz