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Article Example
ଲ୍ୟାପୁନୋଭ୍ ସ୍ଥାୟୀତ୍ତ୍ଵ Then "V(x)" is called a Lyapunov function candidate and the system is stable in the sense of Lyapunov. (Note that formula_40 is required; otherwise for example formula_41 would "prove" that formula_42 is locally stable. An additional condition called "properness" or "radial unboundedness" is required in order to conclude global stability.) Furthermore, the system is asymptotically stable, in the sense of Lyapunov, if formula_43 with equality if and only if formula_36. Global asymptotic stability (GAS) follows similarly.