Finding cones for K-cooperative systems
Optimization and Control
2019-09-17 v2 Systems and Control
Abstract
We design and test a cone finding algorithm to robustly address nonlinear system analysis through differential positivity. The approach provides a numerical tool to study multi-stable systems, beyond Lyapunov analysis. The theory is illustrated on two examples: a consensus problem with some repulsive interactions and second order agent dynamics, and a controlled duffing oscillator.
Cite
@article{arxiv.1903.07924,
title = {Finding cones for K-cooperative systems},
author = {Dimitris Kousoulidis and Fulvio Forni},
journal= {arXiv preprint arXiv:1903.07924},
year = {2019}
}
Comments
6 pages, to be presented in the 58th IEEE Conference on Decision and Control (CDC)