(Non Linear System)
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</pre>
 
</pre>
 
== Non Linear System ==
 
== Non Linear System ==
<pre>
+
 
 
An example of a linear system is shown below:
 
An example of a linear system is shown below:
  
 
x1(t) --> system --> y1(t)  
 
x1(t) --> system --> y1(t)  
 
x2(t) --> system --> y2(t)
 
x2(t) --> system --> y2(t)
</pre>
 

Revision as of 18:11, 10 September 2008

Linear system

SYSTEM: y = 3x(t) - 10
a.) 1X1(t) --> SYSTEM --> 3Y1(t) - 10
b.) 4X2(t) --> SYSTEM --> 12Y2(t) - 10

We can do the following proof to show that the above system is linear.  Take two random constant numbers
such as 9 and 6.  Now multiply the output from "a" by 9.  Then multiply the output from "b" by 6.  Now take
their sum. (27Y(t) - 90) + (72Y(t)-60)) = 99Y(t)-150

Non Linear System

An example of a linear system is shown below:

x1(t) --> system --> y1(t) x2(t) --> system --> y2(t)

Alumni Liaison

Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal