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Spectral Conditions for Stability and Stabilization of Positive Equilibria for a Class of Nonlinear Cooperative Systems
Univ Padua, Italy; Tech Univ Munich, Germany.
Univ Padua, Italy; Dartmouth Coll, NH 03755 USA.
Linköpings universitet, Institutionen för systemteknik, Reglerteknik. Linköpings universitet, Tekniska fakulteten.ORCID-id: 0000-0003-4142-6502
2018 (engelsk)Inngår i: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 63, nr 2, s. 402-417Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

Nonlinear cooperative systems associated to vector fields that are concave or subhomogeneous describe well interconnected dynamics that are of key interest for communication, biological, economical, and neural network applications. For this class of positive systems, we provide conditions that guarantee existence, uniqueness and stability of strictly positive equilibria. These conditions can be formulated directly in terms of the spectral radius of the Jacobian of the system. If control inputs are available, then it is shown how to use state feedback to stabilize an equilibrium point in the interior of the positive orthant.

sted, utgiver, år, opplag, sider
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC , 2018. Vol. 63, nr 2, s. 402-417
Emneord [en]
Concave systems; nonlinear cooperative systems; positive equilibrium points; stability and stabilization; subhomogeneous systems
HSV kategori
Identifikatorer
URN: urn:nbn:se:liu:diva-145240DOI: 10.1109/TAC.2017.2713241ISI: 000423553000007OAI: oai:DiVA.org:liu-145240DiVA, id: diva2:1188345
Merknad

Funding Agencies|Swedish Research Council [2015-04390]

Tilgjengelig fra: 2018-03-07 Laget: 2018-03-07 Sist oppdatert: 2018-03-23

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