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Unformatted text preview: G ( s ) = 1 s 2 +1 . Is this system BIBO stable? 1 Problem 3: Exponential stability of LTI systems. Prove that if the A matrix of the LTI system ˙ x = Ax has all of its eigenvalues in the open left half plane, then the equilibrium x e = 0 is asymptotically stable. Problem 4: Characterization of Internal (State Space) Stability for LTI systems. (a) Show that the system ˙ x = Ax is internally stable if all of the eigenvalues of A are in the closed left half of the complex plane (closed means that the jωaxis is included), and each of the jωaxis eigenvalues has a Jordan block of size 1. (b) Given A = 3 13 134 14 Is the system ˙ x = Ax exponentially stable? Is it stable? 2...
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 Fall '10
 ClaireTomlin
 Electrical Engineering, simple heat exchanger

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