Existence, uniqueness and stability properties of positive equilibria for a class of nonlinear cooperative systems

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.

Ticozzi, FrancescoUnivversity of Padova, Italy (författare)
Altafini, Claudio,1969-Linköpings universitet,Reglerteknik,Tekniska fakulteten(Swepub:liu)claal20 (författare)
Univversity of Padova, ItalyReglerteknik (creator_code:org_t)

Ingår i:Proceedings of 54th IEEE Conference on Decision and Control (CDC): Institute of Electrical and Electronics Engineers (IEEE), s. 4406-4411978147997886197814799788479781479978854

Av författaren/redakt...: Precious, Ugo Ab ...; Ticozzi, Frances ...; Altafini, Claudi ...

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TEKNIK OCH TEKNOLOGIER: TEKNIK OCH TEKNO ...; och Elektroteknik oc ...; och Reglerteknik

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