An input-output linear time invariant model captures neuronal firing responses to external and behavioral events

Abstract An identifiability result determines whether there exists a linear time invariant model capable of matching the input/output data observed from experiments. If no match is possible, a method is presented to find the closest linear model to the data. A weighted q-Markov COVER method is introduced for identification.

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Statistical estimation of the hemodynamic response function by application of a linear time invariant model in the fourier domain to functional magnetic resonance data

NeuroImage ◽

10.1016/s1053-8119(01)91577-0 ◽

2001 ◽

Vol 13 (6) ◽

pp. 234

Author(s):

Daniel Rio ◽

Robert Rawlings ◽

Brian Knutson ◽

Daniel Hommer

Keyword(s):

Statistical Estimation ◽

Linear Time ◽

Fourier Domain ◽

Functional Magnetic Resonance ◽

Hemodynamic Response Function ◽

Invariant Model ◽

Linear Time Invariant ◽

Magnetic Resonance Data ◽

Resonance Data ◽

Time Invariant

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A linear, time-invariant model for cancerous and normal breast tissue

2012 Annual International Conference of the IEEE Engineering in Medicine and Biology Society ◽

10.1109/embc.2012.6347092 ◽

2012 ◽

Author(s):

M. Habibi ◽

E. Diep

Keyword(s):

Breast Tissue ◽

Normal Breast Tissue ◽

Linear Time ◽

Normal Breast ◽

Invariant Model ◽

Linear Time Invariant ◽

Time Invariant

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Application of a linear time-invariant model in the Fourier domain to perform statistical analysis of functional magnetic resonance images

10.1117/12.383406 ◽

2000 ◽

Cited By ~ 1

Author(s):

Daniel E. Rio ◽

Robert R. Rawlings ◽

Daniel Hommer

Keyword(s):

Statistical Analysis ◽

Magnetic Resonance ◽

Linear Time ◽

Magnetic Resonance Images ◽

Fourier Domain ◽

Functional Magnetic Resonance ◽

Invariant Model ◽

Linear Time Invariant ◽

Time Invariant

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On the Identification of Linear Time-Invariant Systems from Input-Output Data

Bell System Technical Journal ◽

10.1002/j.1538-7305.1969.tb04262.x ◽

1969 ◽

Vol 48 (5) ◽

pp. 1101-1113 ◽

Cited By ~ 60

Author(s):

B. Gopinath

Keyword(s):

Linear Time ◽

Input Output ◽

Output Data ◽

Linear Time Invariant ◽

Linear Time Invariant Systems ◽

Time Invariant

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On the Input-Output Distinguishability of Single Output Continuous Linear Time-Invariant Systems

IEEE Transactions on Automatic Control ◽

10.1109/tac.2015.2481788 ◽

2016 ◽

Vol 61 (7) ◽

pp. 1906-1911 ◽

Cited By ~ 3

Author(s):

Koffi M. D. Motchon ◽

Komi M. Pekpe ◽

Jean-Philippe Cassar ◽

Stephan De Bievre

Keyword(s):

Linear Time ◽

Continuous Linear ◽

Input Output ◽

Linear Time Invariant ◽

Single Output ◽

Linear Time Invariant Systems ◽

Time Invariant

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Input-Output Stability of a Broad Class of Linear Time-Invariant Multivariable Systems

SIAM Journal on Control ◽

10.1137/0310015 ◽

1972 ◽

Vol 10 (1) ◽

pp. 203-209 ◽

Cited By ~ 39

Author(s):

Mathukumalli Vidyasagar

Keyword(s):

Linear Time ◽

Broad Class ◽

Multivariable Systems ◽

Input Output ◽

Linear Time Invariant ◽

Output Stability ◽

Time Invariant

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SVD-AORA method for Dynamic Linear Time Invariant Model Order Reduction

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2015.05.175 ◽

2015 ◽

Vol 48 (1) ◽

pp. 695-696 ◽

Cited By ~ 4

Author(s):

K. Mohamed ◽

A. Mehdi ◽

M. Abdelkader

Keyword(s):

Model Order Reduction ◽

Linear Time ◽

Order Reduction ◽

Model Order ◽

Invariant Model ◽

Linear Time Invariant ◽

Time Invariant

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Linear Time Invariant Model Based Motion Correction (LiMo-MoCo) of Dynamic Radial Contrast Enhanced MRI

Lecture Notes in Computer Science - Medical Image Computing and Computer Assisted Intervention – MICCAI 2019 ◽

10.1007/978-3-030-32245-8_48 ◽

2019 ◽

pp. 430-437

Author(s):

Jaume Coll-Font ◽

Onur Afacan ◽

Jeanne Chow ◽

Sila Kurugol

Keyword(s):

Motion Correction ◽

Linear Time ◽

Invariant Model ◽

Linear Time Invariant ◽

Model Based ◽

Enhanced Mri ◽

Contrast Enhanced ◽

Time Invariant ◽

Contrast Enhanced Mri

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Analisis Kestabilan Sistem Linear Time Invariant (Studi Kasus Gerak Longitudinal Pesawat Terbang BWB AC 20.30)

Kubik: Jurnal Publikasi Ilmiah Matematika ◽

10.15575/kubik.v5i2.9336 ◽

2020 ◽

Vol 5 (2) ◽

pp. 54-70

Author(s):

Muhammad Wakhid Musthofa ◽

Maulida Agustin

Keyword(s):

Linear Time ◽

Input Output ◽

Linear Time Invariant ◽

Time Invariant

Stabilitas adalah hal terpenting dalam dunia penerbangan. Salah satu gerak pesawat yang memerlukan kestabilan adalah gerak longitudinal pesawat terbang. Gerak ini merupakan gerak dalam arah vertikal dengan gaya yang bekerja di bagian sumbu roll X dan yaw Z sebagai penyebabnya. Pada artikel ini akan dipaparkan model matematika dalam sistem linear time invariant (LTI) dan analisis kestabilan dari sistem gerak longitudinal pesawat terbang BWB AC 20.30 sebagai pesawat terbang tanpa awak. Analisis kestabilan sistem tersebut menggunakan lima macam metode, yaitu metode nilai eigen, Routh-Hurwitz, Lyapunov, linearisasi dan metode input-output. Selanjutnya, guna memberikan gambaran kestabilan secara geometri akan dilakukan simulasi dengan menggunakan MATLAB R2013a.

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