Global stabilization of controlled nonlinear system "inverted pendulum on a cart" using method of two Lyapunov functions

Simple item page
dc.creatorMazov, B. L.
dc.date2003-12-30
dc.date.accessioned2026-07-07T05:04:16Z
dc.date.available2026-07-07T05:04:16Z
dc.descriptionTitle: 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.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0312495
dc.identifierhttp://arxiv.org/abs/math/0312495
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69736
dc.subjectDynamical Systems
dc.subject34D23; 93C10
dc.titleGlobal stabilization of controlled nonlinear system "inverted pendulum on a cart" using method of two Lyapunov functions
dc.typetext

Files

Collections

arXiv