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The continuous time system described by 2 y(t) = x (t^2) is(a) Causal, linear and time varying(b) Causal, non-linear and time varying(c) Non causal, non-linear and time-invariant(d) Non causal, linear and time-invariantI had been asked this question in an online interview.The above asked question is from The z- and s-Domain Relationship topic in section Digital Control Systems of Control Systems

Answer»

The correct choice is (d) Non CAUSAL, linear and time-invariant

Best explanation: Y (t) depends upon the future value therefore the SYSTEM is ANTICIPATIVE and hence is not causal. But as it follows the SUPERPOSITION theorem so it is linear.



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