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Linear system
Linear system is a system that satisfies a principle of superpositon.
Example of Linear system
system T : y = 2x(t)
y1(t) = 2x1(t)
y2(t) = 2x2(t)
W(t) = 2x1(t) + 2x2(t)
Y(t) = 2(x1(t) + x2(t)) = 2x1(t) + 2x2(t)
W(t) = Y(t)
Therefore, this is linear system.
Example of Non-linear system
system H : y=2x(t) + 5
y1(t) = 2x1(t) + 5
y2(t) = 2x2(t) + 5
W(t) = 2x1(t) + 2x2(t) + 10
Y(t) = 2(x1(t) + x2(t)) + 5
W(t) != Y(t)
Therefore, this is Non-linear system.
