# How to find the pole is oscillatory or not?

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vimal kumar chawda on 11 Jul 2021
Answered: LO on 11 Jul 2021
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

LO on 11 Jul 2021
shouldn't an oscillatory system correlate with itself, with a certain periodicity ?
try this
https://de.mathworks.com/help/econ/autocorr.html

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