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A system is stable with zero input if:

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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 system

I 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

1 Answer

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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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