Open-loop control design for contraction in affine nonlinear systems
Systems and Control
2025-03-31 v1 Systems and Control
Abstract
In this paper, first, it is shown that if a nonlinear time-varying system is contractive, then it is incrementally exponentially stable. Second, leveraging this result, under mild restrictions, an approach is proposed to design feedforward inputs for affine in control systems providing contraction/incremental exponential stability. Unlike standard stability notions, which have well-established control design techniques, this note can be considered among the first ones to provide such a tool for a kind of incremental stability. The theoretical findings are illustrated by examples.
Cite
@article{arxiv.2503.22210,
title = {Open-loop control design for contraction in affine nonlinear systems},
author = {Mohamed Yassine Arkhis and Denis Efimov},
journal= {arXiv preprint arXiv:2503.22210},
year = {2025}
}
Comments
Submitted for L-CSS and CDC for the IEEE Control Systems Letters (L-CSS)