determine whether a transfer function is stable in matlab

To determine whether a transfer function is stable in MATLAB, we can use the 'pole' function which returns the poles of the transfer function. If all the poles of the transfer function have negative real parts, the system is stable.

Here is an example code snippet that shows how to use the 'pole' function to determine the stability of a transfer function:

% Define the transfer function
num = [1];
den = [1, 4, 4];
sys = tf(num, den);

% Get the poles of the transfer function
p = pole(sys);

% Check stability
if real(p) < 0
    disp('System is stable');
else
    disp('System is unstable');
end
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In this example, the transfer function has a single pole at -2, which has a negative real part, so the system is stable. If there were any poles with positive real parts, the system would be unstable.