Unformatted text preview: (b) What are the eigenvalues of e At ? (c) Suppose this matrix A were the dynamic matrix of a system to be controlled. Is the system internally 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) Considering again problem 3(c), is the system internally stable? 1...
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 Fall '10
 ClaireTomlin
 Electrical Engineering, Linear Algebra, Jordan normal form, linearly independent eigenvectors, Department of Electrical Engineering and Computer Sciences, Professor C. Tomlin

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