A small-gain theorem for 2-contraction of nonlinear interconnected systems
Systems and Control
2023-07-03 v4 Systems and Control
Abstract
This paper introduces small-gain sufficient conditions for -contraction of feedback interconnected systems, on the basis of individual gains of suitable subsystems arising from a modular decomposition of the second additive compound equation. The condition applies even to cases when individual subsystems might fail to be contractive (due to the extra margin of contraction afforded by the second additive compound matrix). Examples of application are provided to illustrate the theory and show its degree of conservatism and scope of applicability.
Cite
@article{arxiv.2305.03211,
title = {A small-gain theorem for 2-contraction of nonlinear interconnected systems},
author = {David Angeli and Davide Martini and Giacomo Innocenti and Alberto Tesi},
journal= {arXiv preprint arXiv:2305.03211},
year = {2023}
}
Comments
Original first draft. Successive version submitted to scientific journal