Transfer function's poles and Auxiliary Equation

  • Thread starter unseensoul
  • Start date
  • #1
47
0

Main Question or Discussion Point

Why does the homogeneous of a second order differential equation/system (i.e. a series RLC circuit) is identical to the transfer function (i.e. H(jw)) denominator in its standard form? Therefore the poles of the transfer function are also the solutions for the auxiliary equation...

I cannot see any link between these two things, but they seem to be interrelated somehow. Is there any proof for this?
 

Answers and Replies

  • #2
The Laplace transform transforms a differential equation into an algebraic equation. We can work it out in more detail if you wish.
 

Related Threads for: Transfer function's poles and Auxiliary Equation

  • Last Post
Replies
3
Views
5K
  • Last Post
Replies
8
Views
900
Replies
3
Views
2K
  • Last Post
Replies
4
Views
973
  • Last Post
Replies
8
Views
7K
  • Last Post
Replies
1
Views
1K
Replies
2
Views
1K
Replies
1
Views
510
Top