Question

The system having input x (n) related to output y(n) as y (n) = log |x (n)| is:

(a) Nonlinear, causal, stable

(b) Linear, noncausal, stable

(c) Nonlinear, causal, not stable

(d) Linear, noncausal, not stable

I got this question in an online quiz.

I would like to ask this question from The Z-transform Analysis of Sampled-Data Control Systems in chapter Digital Control Systems of Control Systems

Answer 1

The correct option is (a) Nonlinear, causal, stable

Explanation: As y (n) is the function of x (n) hence it is nonlinear but it is bounded and also depends upon past and present values therefore it is stable and causal respectively.