The block diagram for a control system is shown below: for a unit step change in the set point, \( R(s) \), the steady-state offset in the output \( Y(s) \) is
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is:
A digital filter with impulse response $ h[n] = 2^n u[n] $ will have a transfer function with a region of convergence.