We consider the problem of making a networked system contracting by designing minimal effort local controllers. Our method combines a hierarchical contraction characterization and a matrix-balancing approach to stabilizing a Metzler matrix via minimal diagonal perturbations. We demonstrate our approach by designing local controllers that render contractive a network of FitzHugh-Nagumo neurons with a general topology of interactions.
Cite
@article{arxiv.2203.10392,
title = {Minimum effort decentralized control design for contracting network systems},
author = {Ron Ofir and Francesco Bullo and Michael Margaliot},
journal= {arXiv preprint arXiv:2203.10392},
year = {2022}
}