Small control property
For applied mathematics, in nonlinear control theory, a non-linear system of the form formula_1 is said to satisfy the small control property if for every formula_2 there exists a formula_3 so that for all formula_4 there exists a formula_5 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.