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Unformatted text preview: . (c) Compute a value for the initial state x ( ) : = x 1 ( ) x 2 ( ) x 3 ( ) such that the solution to x = Ax , y = 1 1 1 x is equal to y ( t ) = te 2 t , t . 1 Hint: To solve (c), start by writing y ( t ) as a function of x 1 ( ) , x 2 ( ) , x 3 ( ) and then determine values for these constants to get the desired output. 4. Compute a matrix A ( t ) such that ( t , t ) = 1 e t 2 t 2 2 1 e t 2 t 2 2 is the state transition matrix of the homogeneous ODE x = A ( t ) x 2...
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This note was uploaded on 12/29/2011 for the course ME 243a taught by Professor Abamieh during the Fall '09 term at UCSB.
- Fall '09