Global stabilization of controlled nonlinear system "inverted pendulum on a cart" using method of two Lyapunov functions
Dynamical Systems
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0312495,
title = {Global stabilization of controlled nonlinear system "inverted pendulum on a cart" using method of two Lyapunov functions},
author = {B. L. Mazov},
journal= {arXiv preprint arXiv:math/0312495},
year = {2007}
}
Comments
10 pages