If the V is positive definite, for the system to be asymptotically stable, Q should be negative definite.

If the V is positive definite, for the system to be asymptotically stable, Q should be negative definite. Correct Answer Krasovskii’s method

If the V is positive definite, for the system to be asymptotically stable, Q should be negative definite. For Krasovskii’s method and in addition V should tend to infinity and the system is asymptotically stable in-the large.

Related Questions

If the system is asymptotically stable irrespective that how close or far it is from the origin then the system is:
The system is asymptotically stable at the origin if :
The system is asymptotically stable in the large at the origin if :
Assertion (A): A linear, negative feedback control system is invariable stable if its open loop configuration is stable Reason (R): the negative feedback reduces the overall gain of the feedback.