FN Archimer Export Format
PT J
TI Kernel Function Definition Completion for Time–Domain State–Space Representations of Radiation Forces: Application to the Hankel Singular Value Decomposition
BT 
AF Lecuyer-Le Bris, Romain
   Le Boulluec, Marc
   Charpentier, Jean-Frédéric
   Benbouzid, Mohamed
AS 1:1;2:1;3:2;4:3,4;
FF 1:PDG-REM-RDT-LCSM;2:PDG-REM-RDT-LCSM;3:;4:;
C1 Laboratoire Comportement des Structures en Mer, IFREMER, BP 70, 29280 Plouzané, France
   Institut de Recherche de l’Ecole Navale (EA 3436 IRENav), French Naval Academy, 29400 Brest, France
   Institut de Recherche Dupuy de Lôme (UMR CNRS 6027, IRDL), University of Brest, 29238 Brest, France
   Logistics Engineering College, Shanghai Maritime University, Shanghai 201306, China
C2 IFREMER, FRANCE
   IRENAV, FRANCE
   UBO, FRANCE
   UNIV SHANGHAI, CHINA
SI BREST
SE PDG-REM-RDT-LCSM
IN WOS Ifremer UPR
   DOAJ
   copubli-france
   copubli-univ-france
   copubli-int-hors-europe
   copubli-sud
IF 2.744
TC 1
UR https://archimer.ifremer.fr/doc/00706/81764/86458.pdf
LA English
DT Article
DE ;state-space;convolution replacement;Hankel singular value decomposition;discrete model;kernel function
AB This paper focuses on the formulation of state–space representations of radiation forces for marine structures using Hankel Singular Value Decomposition (HSVD), a method used to obtain a state–space realization from a Hankel matrix, with the classical definition of the kernel function and its new definition given in this paper. The first part shows the influence of a term commonly neglected and the resulting improvement by taking this term into account. The second part will focus on the feedthrough matrix to understand why some models have none and why some others, such as HSVD, have one. An exact definition of the kernel function will be given underlying its discontinuity and its causality. This study also shows the interest of extrapolating hydrodynamic coefficients before approaching radiation forces by a state–space model. 
PY 2021
PD JUN
SO Journal Of Marine Science And Engineering
SN 2077-1312
PU MDPI AG
VL 9
IS 7
UT 000676183300001
DI 10.3390/jmse9070768
ID 81764
ER

EF