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2. Notions of interest
The characterizations of the conventional global asymptotic stability property of the equilibrium at zero (see, for example, ) imply that
to any compact neighborhood of the origin, the maximal time of settling in it is infinite for initial conditions belonging to the complement of the neighborhood;
from any compact neighborhood of the origin, the maximal time of convergence to the equilibrium is infinite;
we will return to this observation in Remark 2.
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