Understanding the Laplace transform: Pole locations and impulse response

GUI to show impulse responses due to different pole locations in the Laplace domain

Move the poles locations to see how these affect the system impulse response. Displays:
- The location of the poles in the s domain. (Plotting Re(s) as an x coordinate and Im(s) as a y coordinate).
- The transfer function this corresponds to in the Laplace domain, H(s). For simplicity this assumes no zeros are presenet.
- The inverse Laplace transform of H(s). That is, h(t) the impulse response.
- A plot of the impulse response h(t).
Use this GUI to see how he imaginary part of the poles gives the oscillation frequency. The real part of the poles gives the amount of damping present. When the real part is >= 0 the system becomes unstable.
Note this has some bugs if used with Matlab versions prior to 2016a.