2013
DOI: 10.3182/20130204-3-fr-2033.00201
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Input Estimation from Sparse Measurements in LPV Systems and Isotopic Ratios in Polar Firns

Abstract: Abstract:We adress the problem of inverse input reconstruction for linear parameter-varying (LPV) systems when only a limited amount of data (i.e. sparse measurements at final time) is available. We include the LPV property by deriving a time-varying Green's function that models the input/output behavior. The estimation is achieved by solving a least-squares optimization problem parameterized in terms of the input rugosity (regularization term) to take into account the under-constrained nature of the problem. … Show more

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Cited by 14 publications
(13 citation statements)
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“…Here we use an improved version of the firn model used in Martinerie et al (2009). A major upgrade is the use of a firn diffusivity profile which optimally fits data from several reference gases with well-known atmospheric histories in the firn (Witrant et al, 2012). This model performed well in an international inter-comparison study (Buizert et al, 2012).…”
Section: Firn Modellingmentioning
confidence: 99%
“…Here we use an improved version of the firn model used in Martinerie et al (2009). A major upgrade is the use of a firn diffusivity profile which optimally fits data from several reference gases with well-known atmospheric histories in the firn (Witrant et al, 2012). This model performed well in an international inter-comparison study (Buizert et al, 2012).…”
Section: Firn Modellingmentioning
confidence: 99%
“…Gas age distributions can be calculated for the purpose of estimating firn smoothing. In the case of modern ice cores this may be accomplished by using gas trapping models parameterized by firn air and pore closure data (Buizert et al, 2012;Witrant et al, 2012). However, to estimate the gas age distribution in bubbles it is necessary to use a depth profile of the progressive closure of pores in the firn, quantifying the transformation of open pores into closed bubbles.…”
Section: Introductionmentioning
confidence: 99%
“…A Green function approach, as presented by Rommelaere et al (1997) and used for halocarbon trend reconstruction by Martinerie et al (2009), with an extension for isotopic ratios and revised to take into account the scarcity of the measurements (Allin et al, 2015;Witrant and Martinerie, 2013;Wang et al, 2012), is used to assign a mean age and age distribution to a certain depth.…”
Section: Modeling Trace Gas Transport In Firnmentioning
confidence: 99%