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The system is stable at origin if for every initial state which is sufficiently close to the origin remains near the origin for all t then the system is :(a) Asymptotically stable(b) Asymptotically stable in the large(c) Stable(d) UnstableThis question was addressed to me in examination.My question comes from Liapunov’s Stability Criterion topic in chapter Liapunov’s Stability Analysis of Control Systems

Answer»

Correct choice is (c) STABLE

The best explanation: By definition, the system is stable at ORIGIN if for every INITIAL state which is sufficiently CLOSE to the origin REMAINS near the origin for all t then the system is stable.



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