Differential analysis of nonlinear systems: revisiting the pendulum example
Systems and Control
2016-11-15 v1 Dynamical Systems
Abstract
Differential analysis aims at inferring global properties of nonlinear behaviors from the local analysis of the linearized dynamics. The paper motivates and illustrates the use of differential analysis on the nonlinear pendulum model, an archetype example of nonlinear behavior. Special emphasis is put on recent work by the authors in this area, which includes a differential Lyapunov framework for contraction analysis and the concept of differential positivity.
Keywords
Cite
@article{arxiv.1409.4712,
title = {Differential analysis of nonlinear systems: revisiting the pendulum example},
author = {Fulvio Forni and Rodolphe Sepulchre},
journal= {arXiv preprint arXiv:1409.4712},
year = {2016}
}
Comments
12 pages, 14 figures. Tutorial paper for the 53rd IEEE Conference on Decision and Control, 2014