简介:Pertainingtodynamicsystemsingeneral,areviewisgivenofrelationsbetweenmathematicaldescriptionsinthefrequencydomainortimedomainandstate-spacedescriptions.Fortheanalysisofhydrodynamicproblemsinoceanengineeringwaveforcesmayberepresentedbyconvolutionintegrals.Thepaperpresentsamethodtoconstructafinite-orderstate-spacemodelwhichrepresentsagoodapproximationtosuchaconvolutionintegral.Themethodutilizesaparticularalgorithmtocomputethepartialderivativeoftheexponentialfunctionofa(state-space)matrixwithrespecttothematrixelements.Themethodisappliedtoanexampleoffittingastatespacemodeloforderfivetothefreeoscillationscorrespondingtowaveradiationinatransientexperimentwithanoscillatingwatercolumn.