(Linear System)
(Linear System)
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A system is called "Linear"  
 
A system is called "Linear"  
 
if for any constants a,b and for any inputs x1(t),x2(t),(x1[n],x2[n])  
 
if for any constants a,b and for any inputs x1(t),x2(t),(x1[n],x2[n])  
yielding output y1(t),y2(t) respective's the
+
yielding output y1(t),y2(t),respectively, the respond to a*x1(t)+b*x2(t) is a*y1(t)+b*y2(t)
  
 
== Example ==
 
== Example ==

Revision as of 16:20, 12 September 2008

Linear System

A system is called "Linear" if for any constants a,b and for any inputs x1(t),x2(t),(x1[n],x2[n]) yielding output y1(t),y2(t),respectively, the respond to a*x1(t)+b*x2(t) is a*y1(t)+b*y2(t)

Example

For function y=2t+1, its derivitive y'=2
y' is a constant
Thus y=2t+1 is a linear system.


For function y=sin(t), y'=cos(t)
y' is not a constant
Thus y=sin(t) is a non-linear system.

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