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If the Liapunov’s function cannot be found then the system is:(a) Stable(b) Unstable(c) Conditionally stable(d) Marginally stableI got this question in homework.The question is from The Direct Method andConstructing of Liapunov for the Linear and Non-Linear System in chapter Liapunov’s Stability Analysis of Control Systems

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Correct OPTION is (B) Unstable

Easy explanation: It is very DIFFICULT to find the Liapunov’s function and SEVERAL techniques are devised for the same and if the Liapunov’s function is not available then the SYSTEM is unstable.



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