Wiley signals and systems e book TLFe BO 154

7 Highcr-Order Systems H ( s ) = C(sI-A)-' (.5) = C(SI L _- 'I'he equation (7 64) has thc initial state&c*oriibirirtl HS ii how t o cal(w1dtc he tlarlsfel %triicturc, from the Inatiiccs 131, I I structure w (7.21) and (7.58) i t is ji Nqiiatioii (7.63) describes in a gcricial form 11 lkrorri tllr input to thv output of a stiltcl-syacc Tliis prohlern has :heady t> be irittt.rpreted RS a vector of t,ransicr r i b tlir t r i i ~ ~ s1A;wioliOur f~r from thc tlividual intcgrators to thc output of Ihc ct Iiolth ) is the vectoi of the tiansfer tunrtions from the s 1x1 uf tlw wliolc s y s t t m , that arise a i t h r intcgritlor outpritc; atioii (7.64) is illustrated in Figure 7.4 T h c rrspoiirc of the with initial cmnditioiis to a i i input sigiiill t ( / ) c - - t h t rt.SpOi1st X ( ij H ( S ) -oy,,t(f) of n svslciri oy,,,1( t ) T h e N initial states z(U) m i s t snch t h t the coiiiplete solution y(t) = g,,,, (t)+$/lllt(t)fulfills tbr iiiitid (