Small control property

For applied mathematics, in nonlinear control theory, a non-linear system of the form

is said to satisfy the small control property if for every

so that the time derivative of the system's Lyapunov function is negative definite at that point.

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.

You can help Wikipedia by expanding it.This systems-related article is a stub.