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The idea that the non-negative scalar functions of a system state can also answer the question of stability was given in Liapunov function:

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The idea that the non-negative scalar functions of a system state can also answer the question of stability was given in Liapunov function:

(a) True

(b) False

This question was addressed to me in an interview for internship.

The question is from Liapunov’s Stability Criterion topic in section Liapunov’s Stability Analysis of Control Systems

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Right option is (a) True

To elaborate: The stability of the liapunov function can be determined with the help of the scalar functions of a system state.

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