z-table - 1 2 3 4 5 Fonctiondu Temps f(t t > 0 Transforme...

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Fonction du Temps 0 ), ( > t t f Transformée de Laplace ) ( s F Transformée en z ) ( z F 1 ) ( t u s (échelon) s 1 1 z z 2 t 2 1 s ( ) 2 1 z Tz 3 2 2 t 3 1 s ( ) ( ) 3 2 1 1 2 + z z z T 4 at e a s + 1 aT e z z 5 at te ( ) 2 1 a s + ( ) 2 aT aT e z Tze 6 at e t 2 2 ( ) 3 1 a s + ( ) ( ) 3 2 2 aT aT aT e z e z z e T + 7 ( ) ( ) at m m m e a m 1 1 1 ! 1 1 ( ) m a s + 1 ( ) ( ) aT m m m e z z a m 1 1 1 ! 1 1 8 at e 1 ( ) a s s a + ( ) ( ) ( ) aT aT e z z e z 1 1 9 ( ) at e t a + 1 1 ( ) a s s a + 2 ( ) ( ) [ ] ( ) ( ) aT aT aT aT e z z a aTe e z e aT z + + 2 1 1 1 10 bt at e e ( )( ) b s a s a b + + ( ) ( )( ) bT aT bT aT e z e z z e e 11 ) 1 ( 1 at e at + ( ) 2 2 a s s a + ( ) [ ] ( ) ( ) 2 2 1 1 aT aT aT aT aT aT e z z aTe e e z aTe e z + + 12 ) sin( wt 2 2 w s w + 1 ) cos( 2 ) sin( 2 + z wT z wT z 13 ) cos( wt 2 2 w s s + ( ) 1 ) cos( 2 ) cos( 2 + z wT z wT z z 14 ) sin( wt e at ( ) 2 2 w a s w + + aT aT aT e z wT e z wT ze 2 2 ) cos( 2 ) sin( + 15 ) cos( wt e at ( ) 2 2 w a s a s + + + aT aT aT e z wT e z wT
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