摘要：A problem of nonlinear systems stabilization is studied.
Admissible controls are piecewise constant. The notion of normal
local stabilizability is proposed. A point P (not necessary equilibrium)
is normally locally stabilizable if for any τ > 0 there exists
such neighborhood D(P; < τ ) of P that any point x ∈ D(P; < τ )
can be steered, in a time less than τ , to any neighborhood of P and
remains there. The constructive method of normal local stabilization
of nonlinear autonomous systems is presented. This method
involves a special sequence of contracting cylinders containing a
trajectory. A domain of attraction of a given point is constructed.
关键词：dynamical system; positive basis; normal stabilization
