(New page: == Definition == If <math>x_{1}(t) \to sys \to *a \to</math> <math>+ \to a x_{1}(t) + b x_{2}(t)</math> <math>x_{2}(t) \to sys \to *b \to</math> And <math>...) |
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Then the system is linear. | Then the system is linear. | ||
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| + | == Example of a Linear System == | ||
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| + | == Example of a Non-Linear System == | ||
Revision as of 12:08, 10 September 2008
Definition
If
$ x_{1}(t) \to sys \to *a \to $ $ + \to a x_{1}(t) + b x_{2}(t) $ $ x_{2}(t) \to sys \to *b \to $
And
$ x_{1}(t) \to *a \to $ $ + \to sys \to a x_{1}(t) + b x_{2}(t) $ $ x_{2}(t) \to *b \to $
And $ a $ and $ b $ are any complex number,
Then the system is linear.
