Existence, uniqueness and stability properties of positive equilibria for a class of nonlinear cooperative systems
2015 (English)In: 2015 54th IEEE Conference on Decision and Control (CDC) / [ed] IEEE, 2015Conference paper (Refereed)
We provide conditions that guarantee existence, uniqueness and stability of strictly positive equilibria for nonlinear cooperative systems associated to vector fields that are concave or subhomogeneous. This class of positive systems describes well interconnected dynamics that are of key interest for communication, biological, economical and neural network applications. These conditions can be formulated directly in terms of the spectral radius of the Jacobian of the system, and do not require to use constant inputs to move the equilibrium point from the origin to the interior of the positive orthant.
Place, publisher, year, edition, pages
IdentifiersURN: urn:nbn:se:liu:diva-127607DOI: 10.1109/CDC.2015.7402907ISBN: 978-1-4799-7884-7OAI: oai:DiVA.org:liu-127607DiVA: diva2:925894
Proceedings of 54th IEEE Conference on Decision and Control. December 15-18, 2015 at the Osaka International Convention Center, Osaka, Japan