NewLaplaceTransformTable

# NewLaplaceTransformTable - ENGS 22 — Systems Laplace...

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Unformatted text preview: ENGS 22 — Systems Laplace Table Page 1 Laplace Transform Table Largely modeled on a table in D’Azzo and Houpis, Linear Control Systems Analysis and Design , 1988 F ( s ) f ( t ) t ≤ 1. 1 ) ( t δ unit impulse at t = 0 2. s 1 1 or ) ( t u unit step starting at t = 0 3. 2 1 s ) ( t u t ⋅ or t ramp function 4. n s 1 1 )! 1 ( 1 − − n t n n = positive integer 5. as e s − 1 ) ( a t u − unit step starting at t = a 6. ) 1 ( 1 as e s − − ) ( ) ( a t u t u − − rectangular pulse 7. a s + 1 at e − exponential decay 8. n a s ) ( 1 + at n e t n − − − 1 )! 1 ( 1 n = positive integer 9. ) ( 1 a s s + ) 1 ( 1 at e a − − 10. ) )( ( 1 b s a s s + + ) 1 ( 1 bt at e a b a e a b b ab − − − + − − 11. ) )( ( b s a s s s + + + α ] ) ( ) ( [ 1 bt at e a b b a e a b a b ab − − − − + − − − α α α 12. ) )( ( 1 b s a s + + ) ( 1 bt at e e a b − − − − 13. ) )( ( b s a s s + + ) ( 1 bt at be ae b a − − − − ENGS 22 — Systems Laplace Table Page 2 F(s) f(t) t ≤ 14....
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NewLaplaceTransformTable - ENGS 22 — Systems Laplace...

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