Question

A Forced system is stable if:

(a) The resulting trajectory tends towards the equilibrium state.

(b) If for the bounded input output is also bounded

(c) It is a free system

(d) It is forced system

This question was posed to me in an interview.

This question is from Liapunov’s Stability Criterion topic in division Liapunov’s Stability Analysis of Control Systems

Answer 1

Right choice is (b) If for the bounded input output is also bounded

Easy explanation: For forced system input is given externally and response has two terms due to the initial states and input given and it is stable if output is bounded for bounded input.