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Unformatted text preview: T > 0. 3. Compute e At for A = 1-2 . Is the system x = Ax asymptotically stable? What about marginally stable? 4. Compute the transfer function of the system x = Ax + bu y = cx + u , where A : = -2-1 , b : = 1-1 , c : = b 1 1 1 B . Is this system BIBO stable? 5. Can the inverse of a n n nonsingular matrix A be written as a linear combination of the matrices I , A , A 2 ,..., A n-1 ? Carefully justify your answer. Hint: Mr. Cayley and his friend Mr. Hamilton would know how to do this with their hands tied behind their backs. 1...
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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