MECH 466 - Lecture2-LaplaceTransforms-2009W

If remark in this theorem it does not matter if pole

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Unformatted text preview: HS or not. Ex. Poles of sF(s) are in LHP, so final value thm applies. sF(s) Ex. Ex. Ex. Some poles of sF(s) are not in LHP, so final value sF(s) thm does NOT apply. 2008/09 MECH466 : Automatic Control 15 2008/09 MECH466 : Automatic Control 16 4 Properties of Laplace transform 7. Convolution Properties of Laplace transform 8. Frequency shift theorem Convolution t-domain Proof. s-domain Ex. IMPORTANT REMARK 2008/09 MECH466 : Automatic Control 17 2008/09 Exercise 1 2008/09 MECH466 : Automatic Control MECH466 : Automatic Control 18 Exercise 2 19 2008/09 MECH466 : Automatic Control 20 5 Summary & Exercises Exercise 3 Laplace transform (Important math tool!) Laplace Definition Definition Laplace transform table Laplace Detailed Laplace transform table is posted on Vista. Detailed Properties of Laplace transform Properties Next Next Solution to ODEs via Laplace transform Solution Exercises Exercises Read Sections 2-1,2-2 up to page 34. Read 2- 1,2By using the definition of the Laplace transform, solve By Problems 1 & 2 in page 94. 2008/09 MECH466 : Automatic Control 21 2008/09 MECH466 : Automatic Control 22 6...
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