Results 1 to 10 of about 2,846,991 (278)
LSTM-Based Anomaly Detection for Non-Linear Dynamical System [PDF]
IEEE Access, 2020 Anomaly detection for non-linear dynamical system plays an important role in ensuring the system stability. However, it is usually complex and has to be solved by large-scale simulation which requires extensive computing resources.
Yue Tan +5 more
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A Regularized Linear Dynamical System Framework for Multivariate Time Series Analysis. [PDF]
Proc AAAI Conf Artif Intell, 2015 Linear Dynamical System (LDS) is an elegant mathematical framework for modeling and learning Multivariate Time Series (MTS). However, in general, it is difficult to set the dimension of an LDS's hidden state space. A small number of hidden states may not
Liu Z, Hauskrecht M.
europepmc +2 more sources
Exploring the suitability of piecewise-linear dynamical system models for cognitive neural dynamics [PDF]
Frontiers in NeuroscienceDynamical system models have proven useful for decoding the current brain state from neural activity. So far, neuroscience has largely relied on either linear models or non-linear models based on artificial neural networks (ANNs).
Jiemin Wu +6 more
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Model Identification and Data Analysis, 2018 The term dynamical system refers to the (differential) equations governing the timevarying behavior of some physical system. A system consisting of discrete units, e.g., the vibrations of a mass–spring chain, a more general structure, or an electrical ...
Matt Barren
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Efficient Learning of a Linear Dynamical System With Stability Guarantees [PDF]
IEEE Transactions on Automatic Control, 2021 We propose a principled method for projecting an arbitrary square matrix to the nonconvex set of asymptotically stable matrices. Leveraging ideas from large deviations theory, we show that this projection is optimal in an information-theoretic sense and ...
Wouter Jongeneel, Tobias Sutter, D. Kuhn
semanticscholar +1 more source
Approximate controllability of second order infinite dimensional systems [PDF]
Archives of Control Sciences, 2021 In the paper approximate controllability of second order infinite dimensional system with damping is considered. Applying linear operators in Hilbert spaces general mathematical model of second order dynamical systems with damping is presented.
Jerzy Klamka, Asatur Zh. Khurshudyan
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Quantum simulation of discrete linear dynamical systems and simple iterative methods in linear algebra [PDF]
Proceedings of the Royal Society A, 2023 Quantum simulation is capable of simulating certain dynamical systems in continuous time—Schrödinger’s equations being the most direct and well known—more efficiently than classical simulation.
Shi Jin, Nana Liu
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A New Approach to Learning Linear Dynamical Systems [PDF]
Symposium on the Theory of Computing, 2023 Linear dynamical systems are the foundational statistical model upon which control theory is built. Both the celebrated Kalman filter and the linear quadratic regulator require knowledge of the system dynamics to provide analytic guarantees.
Ainesh Bakshi +3 more
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Output Stabilization of Linear Systems in Given Set
Mathematics, 2023 This paper presents a method for designing control laws to achieve output stabilization of linear systems within specified sets, even in the presence of unknown bounded disturbances. The approach consists of two stages.
Ba Huy Nguyen, Igor B. Furtat
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Extending the extended dynamic mode decomposition with latent observables: the latent EDMD framework
Machine Learning: Science and Technology, 2023 Bernard O Koopman proposed an alternative view of dynamical systems based on linear operator theory, in which the time evolution of a dynamical system is analogous to the linear propagation of an infinite-dimensional vector of observables.
Said Ouala +4 more
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