Compute the bandwidth of the transfer function sys = 1/(s+1).

sys = tf(1,[1 1]);
fb = bandwidth(sys)

fb = 0.9976

This result shows that the gain of sys drops to 3 dB below its DC value at around 1 rad/s.

Compute the frequency at which the gain of a system drops to 3.5 dB below its DC value. Create a state-space model.

A = [-2,-1;1,0];
B = [1;0];
C = [1,2];
D = 1;
sys = ss(A,B,C,D);

Find the 3.5 dB bandwidth of sys.

dbdrop = -3.5;
fb = bandwidth(sys,dbdrop)

fb = 0.8348

Find the bandwidth of each entry in a 5-by-1 array of transfer function models. Use a for loop to create the array, and confirm its dimensions.

sys = tf(zeros(1,1,5));
s = tf('s');
for m = 1:5
    sys(:,:,m) = m/(s^2+s+m);
end
size(sys)

5x1 array of transfer functions.
Each model has 1 outputs and 1 inputs.

Find the bandwidths.

fb = bandwidth(sys)

fb = 5×1

    1.2712
    1.9991
    2.5298
    2.9678
    3.3493

bandwidth returns an array in which each entry is the bandwidth of the corresponding entry in sys. For instance, the bandwidth of sys(:,:,2) is fb(2).