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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Compressive Privacy for a Linear Dynamical System [PDF]
IEEE Transactions on Information Forensics and Security, 2018 We consider a linear dynamical system in which the state vector consists of both public and private states. One or more sensors make measurements of the state vector and sends information to a fusion center, which performs the final state estimation.
Yang Song, C. Wang, Wee Peng Tay
semanticscholar +5 more sources
Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control. [PDF]
PLoS ONE, 2016 In this wIn this work, we explore finite-dimensional linear representations of nonlinear dynamical systems by restricting the Koopman operator to an invariant subspace spanned by specially chosen observable functions.
Steven L Brunton +3 more
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On feedback invariants for linear dynamical systems
Linear Algebra and its Applications, 2001 The existence of canonical forms is discussed for orbits of reachable systems under the action of the feedback group in the case of systems over rings. A test of wildness is used, which states that an additive category is wild with respect to a field \(k\) if there exist a full subcategory and a representation equivalence from this subcategory into the
J. W. Brewer, Lee Klingler
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CANONICAL STRUCTURE OF LINEAR DYNAMICAL SYSTEMS [PDF]
Proceedings of the National Academy of Sciences, 1962 R. E. Kalman
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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
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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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