For applied mathematics, in nonlinear control theory, a non-linear system of the form
x |
=f(x,u)
\varepsilon>0
\delta>0
\|x\|<\delta
\|u\|<\varepsilon
In other words, even if the control input is arbitrarily small, a starting configuration close enough to the origin of the system can be found that is asymptotically stabilizable by such an input.