Order Reduction in Linear Dynamical Systems by Using Improved Balanced Realization Technique
Sign Up to like & getrecommendations! Published in 2019 at "Circuits, Systems, and Signal Processing"
DOI: 10.1007/s00034-019-01109-x
Abstract: AbstractIn this article, a new model order reduction scheme is proposed for the simplification of large-scale linear dynamical models. The proposed technique is based on the balanced realization method, in which the steady-state gain problem… read more here.
Keywords: order reduction; reduction; technique; balanced realization ... See more keywords
Discretization Procedure for Linear Dynamical Systems
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-018-3765-5
Abstract: We describe in detail a method of construction of a discrete linear dynamical model of a controllable object in the recurrent Cauchy form corresponding to an initial continuous dynamical system. We describe discretization algorithms for… read more here.
Keywords: discretization; discretization procedure; linear dynamical; dynamical systems ... See more keywords
Cheap compensation in disturbed linear dynamical systems with multi-input delays
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Dynamics and Control"
DOI: 10.1007/s40435-018-00505-6
Abstract: In this paper, we investigate the remediability problem of any disturbances for a class of distributed systems with multiple input delays. We show how to remedy any disturbance effect with a convenient choice of the… read more here.
Keywords: compensation disturbed; input; cheap compensation; input delays ... See more keywords
Identification of Fractional Linear Dynamical Systems with Autocorrelated Errors in Variables by Generalized Instrumental Variables
Sign Up to like & getrecommendations! Published in 2018 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2018.11.485
Abstract: Abstract This paper addresses the problem of identifying stochastic linear fractional discrete-time systems from noisy input/output data. The input noise is supposed to be fractional noise, while the output noise is assumed colored or fractional… read more here.
Keywords: fractional linear; generalized instrumental; identification fractional; instrumental variables ... See more keywords
Belitskii's canonical forms of linear dynamical systems
Sign Up to like & getrecommendations! Published in 2017 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2017.06.019
Abstract: Abstract In the note, all indecomposable canonical forms of linear systems with dimension less than or equals to 4 are determined based on Belitskii's algorithm. read more here.
Keywords: canonical forms; linear dynamical; dynamical systems; belitskii canonical ... See more keywords
A Bayesian switching linear dynamical system for estimating seizure chronotypes
Sign Up to like & getrecommendations! Published in 2022 at "Proceedings of the National Academy of Sciences of the United States of America"
DOI: 10.1073/pnas.2200822119
Abstract: Significance Dynamical systems have been used to model the paroxysmal nature of seizures in epilepsy. In parallel, seizures have been discovered to occur with cyclical periodicity in epilepsy, occurring at specific phases of latent epileptogenic… read more here.
Keywords: seizure; bayesian switching; dynamical system; switching linear ... See more keywords
Topology Learning of Linear Dynamical Systems with Latent Nodes using Matrix Decomposition
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2021.3124979
Abstract: In this article, we present a novel approach to reconstruct the topology of linear dynamical systems with latent nodes. The network is allowed to have directed loops and bi-directed edges. We show that the imaginary… read more here.
Keywords: systems latent; nodes using; latent nodes; linear dynamical ... See more keywords
Detecting Topology Variations in Networks of Linear Dynamical Systems
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Control of Network Systems"
DOI: 10.1109/tcns.2017.2701504
Abstract: In this paper, we consider the problem of detecting topology variations in networks of linear dynamical systems. We study the problem of finding conditions under which one can detect node or link disconnections from prior… read more here.
Keywords: networks linear; topology variations; topology; linear dynamical ... See more keywords
Probing the Relationship Between Latent Linear Dynamical Systems and Low-Rank Recurrent Neural Network Models
Sign Up to like & getrecommendations! Published in 2022 at "Neural Computation"
DOI: 10.1162/neco_a_01522
Abstract: Abstract A large body of work has suggested that neural populations exhibit low-dimensional dynamics during behavior. However, there are a variety of different approaches for modeling low-dimensional neural population activity. One approach involves latent linear… read more here.
Keywords: latent linear; low rank; low dimensional; rank recurrent ... See more keywords