Show that a system described by the equation is non-linear, BIBO stable, time invariant, non-causal and non-invertible.

Question

What will be an ideal response?

Answer 1

Solution:



If the excitation is bounded then the response is also bounded.





The response depends on future values of the excitation. Therefore the system is non-causal.



Positive and negative excitations of the same magnitude yield the same positive response.

Therefore when observing a positive response it is impossible to know whether it came from a positive or negative excitation and the system is not invertible.