determinant of transfer function

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bhuvanesh

Joined Aug 10, 2013
268
i am studying control system i crossed this transfer function

H(jw)=(1-jw/1+jw)

now taking determinant of this

|H(jw)|=1

My question in what way the determinant is usefull to learn about the systrem.Here the determinant of transfer function is 1,so the 1 saying anything about the system
 

MrAl

Joined Jun 17, 2014
11,396
i am studying control system i crossed this transfer function

H(jw)=(1-jw/1+jw)

now taking determinant of this

|H(jw)|=1

My question in what way the determinant is usefull to learn about the systrem.Here the determinant of transfer function is 1,so the 1 saying anything about the system
Hi,

Are you sure it was 1-jw/1+jw ?
I ask because that jw/1 looks suspicious. It is unusual to show a '1' in the denominator because that just means it simplifies into just the numerator.
This leads me to believe it could have been instead:
1-jw/(1+jw)

I am not saying that this is definite, just that it could have been read wrong or even printed wrong on the source page.
No problems if it was correct all along.

Of course it could also have been:
(1-jw)/(1+jw)

which would also make more sense, but it's a good idea to show all the parens when writing these mathematical expressions out.
 
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