Assignment3.pdf - Linear Control Systems Assignment#3 Due...

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Linear Control Systems Assignment #3 Due Thursday, September 14, 2017 Problem 1 : Calculate the transfer function and zero input response of the following system, if the initial condition, x(0) is given by [ 3 4 ] ?̇(?) = [ −7 15 2 0 ] ?(?) + [ 1 0 ] ?(?) ?(?) = [ 1 1 ]?(?) Problem 2 : Calculate the Laplace transform of the following. Derive from first principles (i.e. from the original definition of the Laplace transform). However, you may use results already proved. (a) 𝛿(?) (b) 𝑒 −𝑎?
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