Contracting Forced Lagrangian and Contact Lagrangian Systems: application to nonholonomic systems with symmetries
Optimization and Control
2022-09-29 v1 Systems and Control
Systems and Control
Mathematical Physics
math.MP
Abstract
In this paper we address the problem of identifying contracting systems among dynamical systems appearing in mechanics. First, we introduce a sufficient condition to identify contracting systems in a general Riemannian manifold. Then, we apply this technique to establish that a particular type of dissipative forced mechanical system is contracting, while stating immediate consequences of this fact for the stability of these systems. Finally, we use the previous results to study the stability of particular types of Contact and Nonholonomic systems.
Keywords
Cite
@article{arxiv.2209.14149,
title = {Contracting Forced Lagrangian and Contact Lagrangian Systems: application to nonholonomic systems with symmetries},
author = {Alexandre Anahory Simoes and Leonardo Colombo},
journal= {arXiv preprint arXiv:2209.14149},
year = {2022}
}