Radially unbounded function: Difference between revisions

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In mathematics, a '''radially unbounded function''' is a function <math>f: \mathbb{R}^n \rightarrow \mathbb{R}</math> for which

:<math>\|x\| \to \infty \Rightarrow f(x) \to \infty. \,. </math>

Such functions are applied in [[control theory]].

==References==

*{{Citation | last1=Terrell | first1=William J. | title=Stability and stabilization | publisher=[[Princeton University Press]] | isbn=978-0-691-13444-4 | id={{MathSciNet | id = 2482799}} | year=2009}}