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Conditions of ___________ are necessary and sufficient condition for the asymptotic stability of the system.(a) Linear system(b) Krasovskii’s method(c) positive definiteness(d) Variable gradient methodI have been asked this question by my college professor while I was bunking the class.The origin of the question is The Direct Method andConstructing of Liapunov for the Linear and Non-Linear System topic in portion Liapunov’s Stability Analysis of Control Systems

Answer» RIGHT option is (c) positive definiteness

To elaborate: For the SYSTEM to be ASYMPTOTIC stable which is desired for the LIAPUNOV stability positive definiteness of the system must be fulfilled.


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