2020
DOI: 10.1007/978-3-030-43936-1
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Linear Time-Invariant Systems, Behaviors and Modules

Abstract: The series Differential-Algebraic Equations Forum is concerned with analytical, algebraic, control theoretic and numerical aspects of differential algebraic equations, as well as their applications in science and engineering. It is aimed to contain survey and mathematically rigorous articles, research monographs and textbooks. Proposals are assigned to a Publishing Editor, who recommends publication on the basis of a detailed and careful evaluation by at least two referees. The appraisals will be based on the … Show more

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Cited by 5 publications
(3 citation statements)
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“…Nevertheless, the amplitude and phase may differ as a function of the frequency. 'Time invariance' means that the output signal will respond consistently to the input signal at any given time, regardless of the specific point in time [40]. However, the 'time invariance' assumption is questioned because environmental influences can affect the measurement system over time due to aging.…”
Section: Signal Conditioningmentioning
confidence: 99%
“…Nevertheless, the amplitude and phase may differ as a function of the frequency. 'Time invariance' means that the output signal will respond consistently to the input signal at any given time, regardless of the specific point in time [40]. However, the 'time invariance' assumption is questioned because environmental influences can affect the measurement system over time due to aging.…”
Section: Signal Conditioningmentioning
confidence: 99%
“…Let F be a space of functions or distributions R n → C such as those in (8), or those in [16,17,20,21]. We assume that F is an R-module under differentiation.…”
Section: Syzygiesmentioning
confidence: 99%
“…Our presentation connects these threads from analysis and algebra. Along the way, we give an exposition of known results from control theory [16,17,20,21].…”
Section: Introductionmentioning
confidence: 99%