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...
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Homogeneity
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Polyakov, A., Upgrading Linear Controllers: Method of Generalized Homogenization
https://www.quanser.com/events-webinars/upgrading-linear-pid-controllers
Fridman L., Sliding Mode Controllers: Stages of Evolution,...
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