Exercise 3.0

Analysis ∙ Linear dynamical systems

Consider the following systems:

1. \(G(s) = \frac{2}{s + 1}\)

2. \(G(s) = \frac{1}{s^3 + 1}\)

Let the input be \(u(t) = \sin(t)\). Compute, in the cases where it is meaningful, the output when the transients have disappeared.