From dynamical systems with time-varying delay to circle maps and Koopman operators.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.95.062214
Abstract: In this paper, we investigate the influence of the retarded access by a time-varying delay on the dynamics of delay systems. We show that there are two universality classes of delays, which lead to fundamental… read more here.
Keywords: time varying; varying delay; delay; koopman ... See more keywords
Model-Free Geometric Fault Detection and Isolation for Nonlinear Systems Using Koopman Operator
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Access"
DOI: 10.1109/access.2022.3146417
Abstract: This paper presents a model-free fault detection and isolation (FDI) method for nonlinear dynamical systems using Koopman operator theory and linear geometric technique. The key idea is to obtain a Koopman-based reduced-order model of a… read more here.
Keywords: fault detection; koopman; operator; detection isolation ... See more keywords
Graph Neural Network and Koopman Models for Learning Networked Dynamics: A Comparative Study on Power Grid Transients Prediction
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Access"
DOI: 10.1109/access.2022.3160710
Abstract: Continuous monitoring of the spatio-temporal dynamic behavior of critical infrastructure networks, such as the power systems, is a challenging but important task. In particular, accurate and timely prediction of the (electro-mechanical) transient dynamic trajectories of… read more here.
Keywords: koopman; network; power grid; power ... See more keywords
Approximate Reachability for Koopman Systems Using Mixed Monotonicity
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Access"
DOI: 10.1109/access.2022.3194851
Abstract: We present a data-driven method for computing reachable sets for unknown nonlinear dynamical systems using a Koopman operator based approach. We find mixed-monotone decompositions for a class of Koopman lifted dynamics. The mixed-monotone system can… read more here.
Keywords: koopman; approximate reachability; unknown nonlinear; reachability koopman ... See more keywords
Deep Koopman Operator With Control for Nonlinear Systems
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Robotics and Automation Letters"
DOI: 10.1109/lra.2022.3184036
Abstract: Recently Koopman operator has become a promising data-driven tool to facilitate real-time control for unknown nonlinear systems. It maps nonlinear systems into equivalent linear systems in embedding space, ready for real-time linear control methods. However,… read more here.
Keywords: koopman; koopman operator; control; nonlinear systems ... See more keywords
Data-Driven Encoding: A New Numerical Method for Computation of the Koopman Operator
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Robotics and Automation Letters"
DOI: 10.1109/lra.2023.3273515
Abstract: This letter presents a data-driven method for constructing a Koopman linear model based on the Direct Encoding (DE) formula. The prevailing methods, Dynamic Mode Decomposition (DMD) and its extensions are based on least squares estimates… read more here.
Keywords: computation; koopman; koopman operator; driven encoding ... See more keywords
Koopman-Based MPC With Learned Dynamics: Hierarchical Neural Network Approach.
Sign Up to like & getrecommendations! Published in 2022 at "IEEE transactions on neural networks and learning systems"
DOI: 10.1109/tnnls.2022.3194958
Abstract: This article presents a data-driven control strategy for nonlinear dynamical systems, enabling the construction of a Koopman-based linear system associated with nonlinear dynamics. The primary idea is to apply the deep learning technique to the… read more here.
Keywords: koopman; koopman based; control; based mpc ... See more keywords
Data-Driven Control of Soft Robots Using Koopman Operator Theory
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Robotics"
DOI: 10.1109/tro.2020.3038693
Abstract: Controlling soft robots with precision is a challenge due to the difficulty of constructing models that are amenable to model-based control design techniques. Koopman operator theory offers a way to construct explicit dynamical models of… read more here.
Keywords: koopman operator; control; soft robots; koopman ... See more keywords