(New page: Category:ECE301Spring2011Boutin Category:problem solving = Practice Question on System Stability= The input x(t) and the output y(t) of a system are related by the equation <math...)
 
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===Answer 1===
 
===Answer 1===
Write it here.
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This system is stable.
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I'm actually not sure how to show this, does the following logic work?
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<math>\lim_{x(t) \to 0}\frac{1}{1+x^2(t)} = 1</math> and <math>\frac{1}{1+x^2(t)} < 1 </math> for all x(t), thus the system is stable.
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I'm not sure that the justification works here...
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--[[User:Cmcmican|Cmcmican]] 17:44, 24 January 2011 (UTC)
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===Answer 2===
 
===Answer 2===
 
Write it here.
 
Write it here.

Revision as of 13:44, 24 January 2011

Practice Question on System Stability

The input x(t) and the output y(t) of a system are related by the equation

$ y(t)=\frac{1}{1+x^2(t)}. $

Is the system stable? Answer yes/no and ustify your answer.


Share your answers below

You will receive feedback from your instructor and TA directly on this page. Other students are welcome to comment/discuss/point out mistakes/ask questions too!


Answer 1

This system is stable. I'm actually not sure how to show this, does the following logic work?

$ \lim_{x(t) \to 0}\frac{1}{1+x^2(t)} = 1 $ and $ \frac{1}{1+x^2(t)} < 1 $ for all x(t), thus the system is stable.

I'm not sure that the justification works here...

--Cmcmican 17:44, 24 January 2011 (UTC)

Answer 2

Write it here.

Answer 3

Write it here.


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