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The system characterized by the equation y(t) = ax(t) + b is(a) Linear for any value of b(b) Linear if b > 0(c) Linear if b < 0(d) Non-linearThis question was addressed to me by my college director while I was bunking the class.This question is from The z- and s-Domain Relationship in section Digital Control Systems of Control Systems

Answer»

Right choice is (d) Non-linear

The explanation: The system is non-linear because X(t) = 0 does not lead to y (t) = 0, which is a VIOLATION of the PRINCIPLE of homogeneity.



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