  Title: Global stabilization of control nonlinear system "inverted pendulum on
a cart" using method of two Lyapunov functions Authors: B. L. Mazov (Nizhny
Novgorod Technical University) Comments: 10 pages Subj-class: Dynamical Systems
MSC-class: 34D23 (Primary); 93H10 (Secondary)
  In this work a mathematical apparatus for method of several global Lyapunov
functions is applied to study the stability properties of nonlinear model of
concrete singularly perturbed mechanical system "inverted pendulum on a cart"
with discontinuous relay-type control. In this analysis, the concept of
solution in sense of Gelig et al. is used.
