MHB Bounded Output Bounded Input BIBO

Click For Summary
To determine if an LTI system is BIBO stable, one must analyze the poles of its transfer function. For the given transfer function H(s) = (s - 2)/((s + 2)(s + 1)(s - 1)), the stability condition states that all poles must have negative real parts. In this case, the pole at s = 1 has a positive real part, indicating that the system is unstable. Therefore, the system is not BIBO stable due to the presence of this pole. Understanding pole locations is crucial for assessing BIBO stability in LTI systems.
Dustinsfl
Messages
2,217
Reaction score
5
Can some show me how we show a LTI system is BIBO? I read the definition but it didn't help.

For example, how would we show if
\[
H(s) = \frac{s - 2}{(s + 2)(s + 1)(s - 1)}
\]
is BIBO stable or unstable?
 
Mathematics news on Phys.org
dwsmith said:
Can some show me how we show a LTI system is BIBO? I read the definition but it didn't help.

For example, how would we show if
\[
H(s) = \frac{s - 2}{(s + 2)(s + 1)(s - 1)}
\]
is BIBO stable or unstable?

The stability condition requires that the Transfer Function has all poles with negative real part... one of poles is in s=1 so that...

Kind regards

$\chi$ $\sigma$
 
I have been insisting to my statistics students that for probabilities, the rule is the number of significant figures is the number of digits past the leading zeros or leading nines. For example to give 4 significant figures for a probability: 0.000001234 and 0.99999991234 are the correct number of decimal places. That way the complementary probability can also be given to the same significant figures ( 0.999998766 and 0.00000008766 respectively). More generally if you have a value that...

Similar threads

  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 8 ·
Replies
8
Views
5K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 43 ·
2
Replies
43
Views
4K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K