How to find the pole is oscillatory or not?

For a system to be oscillatory, it must have a conjugate complex pole pair. That is, two poles must have the same real part and the same magnitude of the imaginary part, but with different signs, e.g. pole1 =a+i*b, pole2=a-i*b.

Please determine whether the systems G_1(s) and G_2(s) are oscillatory.

For this, write a function with a loop and/or query that outputs a 1 if the system is oscillatory and a 0 if it is not.

oscillatory. The function should be stored in a separate file "is_vibrating.m".

% Solution:

% Content of the file "ist_schwingfaehig.m":

%

function b_out = ist_schwingfaehig(G)
    if 
        
    end
    
    or 
    function [b_out] = ist_schwingfaehig(G)

    if abs(pole_1)== (pole_2)
        b_out=1;
        display('b_out')       
    else 
         
        b_out=0;
        display('b_out')
    end
end

%

% Where G corresponds to a general transfer function and b_out is

% a boolean data type

Answer 1

[LO]

shouldn't an oscillatory system correlate with itself, with a certain periodicity ?

try this

https://de.mathworks.com/help/econ/autocorr.html