Codigos de Trasnforma de Laplace

 

Añ`ldjs `m Prhksejrih`h `m Chpcham

Mc ajihk`j `m IHPCHO qum rmhclzh mc aècaucj `m ch trhksejrih`h ms  chpcham y ch trhksejrih`h lkvmrsh ajk mc ajihk`j lchpcham. CHVCHAM %@mtmrilkm ch trhksejrih`h `m chpcham `m slk(0t)

syis t y89slk(0*t) \89chpcham(y8)

%@mtmrilkm ch trhksejrih`h `m chpcham `m t1 

syis t y89t[1  \89chpcham(y8)

%@mtmrilkm ch trhksejrih`h `m chpcham `m t

syis t s y89t7 \89chpcham(y8) %@mtmrilkm ch trhksejrih`h `m chpcham `m ∟∔() 

syis t s y89mxp(-1*t)*slk(?*t)7 \89chpcham(y8) %@mtmrilkm ch trhksejrih`h `m chpcham `m  .   ∟  (( ))  ∟() 

syis t s y898.=*t-mxp(-t)*slk(=*t)+=*mxp(-t)*ajs(=*t)7 \89chpcham(y8) %slipclelahalñk `m \8 slipcley(\8) prmtty(\8)

8.  Mkaumktrm ch mxphkslñk `m erhaalñk phralhc y ch lkvmrsh `m chpcham `m ch sldulmktm ma mauhalñk> uhalñk>

 

Ihtcho aumkth ajk `js eukaljkms `lee y lkt. Pmkmijs IHPCHO lktmdrhr x (s), cj qum bham lktmrkhimktm im`lhktm mc usj `m erhaaljkms phralhcms, y cumdj `lemrmkalhr lkim`lhthimktm ch mxprmslñk rmsucthktm.

Vhrh bhcchr ch lkvmrsh hpclahijs>

Ihtcho pum`m rmsjcvmr slioñclahimktm mauhaljkms `lemrmkalhcms. ]tlclzh mc ajihk`j @QJCUM phrh mstm hprjpñsltj.

 

?.  _msjcvmr

LKUM_QH @M CHVCHAM %Prhksejrih`h lkvmrsh `m



( ++)



(+)

 y 

 

syis s  E898/s[?  E?9(s[?+?*s+1)/(s+8)[1 e89lchpcham(E8) e?9lchpcham(E?) %Prhksejrih`h lkvmrsh `m

( ++)(+) (+)(+)( ++)

 

syis s t \89( s[?+1*s+4)*(s+ s[?+1*s+4)*(s+?)/(s+1)*(s+0)*( ?)/(s+1)*(s+0)*( s[?+?*s+866) y89lchpcham(\8) slipcley(y8) prmtty(y8) %Prhksejrih`h lkvmrsh `m

( ++)

 

( + ++)

syis s7 es9(s[?-?*s+8)/(s[1+1*s[?+0*s+?)7 et9lchpcham(es) et 90/mxp(t) - (1*(ajs(t) + (0*slk(t))/1))/mxp(t) slipcley(et) hks 9-(1*ajs(t) + 0*slk(t) - 0)/mxp(t) 0)/m xp(t)

%Prhksejrih`h lkvmrsh `m

(+)

 

( ++)

 

syis s Es9(1*s+81)/(s[?+0*s+1) x9lchpcham(Es) mzpcjt(x,W6 4Y) % bhdj il vmatjr phrh shomr mc lktmrvhcj lktmrvhcj `m t drl` jk xchomc('t') ychomc('x')

Erhaaljkms slipcms ajk Ihtcho

Vhrh mc aècaucj `m ch trhksejrih`h lkvmrsh, rmsucth þtlc jotmkmr prmvlhimktm cjs rmsl`ujs `m ch eukalñk rhaljkhc qum sm `msmh `msajipjkmr mk erhaaljkms slipcms ajk trhksejrih`h lkvmrsh lkim`lhth. Mc `mshrrjccj mk erhaaljkms slipcms sm jotlmkm im`lhktm>

Ql josmrvhijs ch mauhalñk p(8)9 -p8 y p(?)9 -p? y g8 ms uk tmrilkj `lrmatj. IHPCHO `lspjkm `mc ajihk`j rmsl`um hc qum sm cm phshk cjs vmatjrms ajk cjs ajmelalmktms mk s `mc kuimrh`js y `mkjilkh`jr `m ch eukalñk D(s)7 mstjs vmatjrms sjk kuiìrlajs. Mc ajihk`j `mvumcvm trms vhrlhocms ajk cjs ajmelalmktms `m cjs kuimrh`jrms `m chs erhaaljkms slipcms, chs rhéams `m cjs `mkjilkh`jrms y mc tmrilkj `m mktrh`h-shcl`h. Mnmipcj 1.   () 9

   +=  +1+  +  ++

 

 

  Josmrvhr qum cjs rmsl`ujs sm `mvumcvmk mk mc vmatjr ajcuikh r, chs pjslaljkms `m cjs pjcjs mk mc vmatjr ajcuikh p, y mc tmrilkj `lrmatj mk mc vmatjr elch g.

()  9

        







 9

 



 



 

  

Ch eukalñk rmsl`um thiolìk sm pum`m utlclzhr phrh jotmkmr cjs pjclkjiljs (kuimrh`jr y `mkjilkh`jr) h phrtlr `m su `mshrrjccj mk erhaaljkms slipcms.

 

0.   () 9

   ++1 (+)

 9

   ++1

   

 +1  +1+

 ()  9

8 8



6

?      1 (  8) (  8)

 

 

Mkajktrhr cj amrjs y cjs pjcjs `m D(s)

Ihtcho tlmkm ukh eukalñk> Wz,p,gY  9 te?zp( te?zp(o,h) mkaumktrh ch ihtrlz `m amrjs, mc vmatjr `m pjcjs, y mc vmatjr hsjalh`j `m dhkhkalhs `m cjs phrèimtrjs `m ch eukalñk `m trhksemrmkalh y .zpgoh  Ch eukalñk ajkvlmrtm ukh rmprmsmkthalñk `m trhksemrmkalh-eukalñk pjclkñilah.

Mnmipcj 8.

Jotmkmr cjs amrjs, pjcjs y dhkhkalhs `m ch sldulmktm mauhalñk>



 ()  9

0  85  8?      8? 1  00 00  02 02 

 

 

Cjs amrjs sjk -1 y -8. Cjs pjcjs mstèk mk s96, -5, -0 y -?. Ch dhkhkalh ms 0. Ql cjs amrjs, pjcjs y dhkhkalh mstèk `h`js, mktjkams mc sldulmktm prjdrhih slrvm phrh dmkmrhr dm kmrhr kui/`mi>

?.  @h`js cj amrjs, pjcjs y dhkhkalh, jotmkdh ch eukalñk D(s) utlclzhk`j cjs sldulmktms ahsjs> h.  Kj bhy amrjs, cjs pjcjs pjcjs mstèk mk -8+?n y -8-?n y g986

 

  pjcjs mstèk mk -8+?n y -8-?n -8-?n y g986 o.  Bhy uk amrj mk 6. Cjs pjcjs

pjcjs msth mk -?, -0 y -2 g98? a.  Bhy uk amrj mk -8. Cjs pjcjs