System Functions and the Laplace Transform (Spring 2019) (M-I-T)

• Modeling a tuned mass damper (M-I-T)
• Pole Diagram problem 1 setup (M-I-T)
• Analogy with power series (M-I-T)
• Laplace transform of higher derivatives (M-I-T)
• Laplace transform of unit step function (M-I-T)
•  Step and delta functions: integrals and generalized derivatives (M-I-T)
• Stopping a pendulum with delta input (M-I-T)
• Solving ODEs (M-I-T)
• Feedback in a first order system (M-I-T)
• Feedback in a second order system (M-I-T)
• Proof of convolution formula (M-I-T)
• Damping effect of voice coil (M-I-T)