test301-2-10 - A-AE 301 exam two, fall 2010. Please put...

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Unformatted text preview: A-AE 301 exam two, fall 2010. Please put your best answer clearly written on the exam in a box. Two page of notes and no calculators. NAME: 1 Problem 1. Solve the following differential equation where the initial conditions are all zero y + y = 5 cos(2 t ) . Find y ( t ) = 2 Problem 2. Consider the matrix A = - 2 2- 4 2 . Find e At = 3 Problem 3. Compute the transfer function for the following state space system x 1 x 2 = 2 4- 3- 5 x 1 x 2 + 1 2 u y = [ 2 3 ] x + 2 u ( t ) 3a) The transfer function is G ( s ) = Y ( s ) U ( s ) = 3b) The impulse response g ( t ) for this system is given by g ( t ) = 4 Problem 4. Consider the state space system x = 1 1 1 1- 52- 94- 80- 35- 8 x + 1 u y = [ 104 22- 1907 678 2020...
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test301-2-10 - A-AE 301 exam two, fall 2010. Please put...

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