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A system is stable with zero input 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 systemI have been asked this question during an interview for a job.This intriguing question comes from Liapunov’s Stability Criterion in chapter Liapunov’s Stability Analysis of Control Systems

Answer»

The correct choice is (a) The resulting trajectory tends towards the equilibrium STATE.

Best explanation: A system with zero input is the system in which the input is zero and INITIAL states are taken as the input and a FREE system but it is stable only if the resulting trajectory tends TOWARD the equilibrium state.



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