Dr. Ahmed G. Abo-Khalil

Electrical Engineering Department

Superposition prin

Superposition principle


In physics and systems theory, the superposition principle,[1] also known as superposition property, states that, for all linear systems, the net response at a given place and time caused by two or more stimuli is the sum of the responses which would have been caused by each stimulus individually. So that if input A produces response X and input B produces response Y then input (A + B) produces response (X + Y).

The homogeneity and additivity properties together are called the superposition principle. A linear function is one that satisfies the properties of superposition. Which is defined as

F(x_1+x_2+cdots)=F(x_1)+F(x_2)+cdots  , Additivity
F(a x)=a F(x) ,  Homogeneity
for scalar a.

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