Question

What is a stable system?

(a) If every bounded input results in the bounded output

(b) If every bounded input results in an unbounded output

(c) If every unbounded input results in a bounded output

(d) If unbounded input results in bounded as well as unbounded output

This question was addressed to me in a job interview.

This interesting question is from Properties of Systems in section Signals and Systems Basics of Signals and Systems

Answer 1

Right choice is (a) If every bounded input results in the bounded output

To elaborate: The system is said to bounded input bounded output stable if every bounded input results in bounded output and also the output of such a system does not diverge if the input does not diverge.