University of Michigan ME 564 1. Consider the linear input-output system: Σ : ¨y(t) + a1y˙(t) + a0y(t) = bu(t) where y(0) = 0, ˙y(0) = 0 and a1, a0 and b are real constants. For i = 1, 2, let φi(t) be the solution of Σ corresponding to u(t) = ui(t), for t ∈ [0, T]. (a) Show that for every pair of real constants α1 and α2, φ3(t) := α1φ1(t) + α2φ2(t) is a solution cor ...[Show More]

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