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If the system is asymptotically stable irrespective that how close or far it is from the origin then the system is:

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If the system is asymptotically stable irrespective that how close or far it is from the origin then the system is:

(a) Asymptotically stable

(b) Asymptotically stable in the large

(c) Stable

(d) Unstable

The question was posed to me in homework.

This intriguing question originated from Liapunov’s Stability Criterion in section Liapunov’s Stability Analysis of Control Systems

1 Answer

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The correct choice is (b) Asymptotically stable in the large

The explanation is: For the good control system system must be stable and if the system is asymptotically stable irrespective that how close or far it is from the origin then the system is asymptotically stable in large.

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