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Linear System
A system may have input and output. Suppose the system receive input X and it produces output Y.
A system is called a linear system if the system satisfied two conditions:
System that receive a sum of two inputs will also produce output equal to the sum of the two inputs
System that receive a constant multiplication of input will also produce output equal to the constant multiplication of the input
We can summarize the two conditions of the linear system into a linear combination. Thus, a linear system is a system that produces output equal to the linear combination of the input
Examples
The following are the examples of linear system
A system that is not linear is called a non-linear system. The output is not a linear combination of the input. The following are the example of non-linear system
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(second term is not a linear combination of input
or past input
)
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Preferable reference for this tutorial is
Teknomo, Kardi (2015) Difference Equation Tutorial. https:\\people.revoledu.com\kardi\ tutorial\DifferenceEquation\