Radially unbounded function

In mathematics, a radially unbounded function is a function $f:\mathbb {R} ^{n}\rightarrow \mathbb {R}$ for which

$\|x\|\to \infty \Rightarrow f(x)\to \infty .\,$

Such functions are applied in control theory.

References

• Terrell, William J. (2009), Stability and stabilization, Princeton University Press, ISBN 978-0-691-13444-4, MR2482799