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- Abara, Precious UgoUniv Padua, Italy; Tech Univ Munich, Germany (author)
Spectral Conditions for Stability and Stabilization of Positive Equilibria for a Class of Nonlinear Cooperative Systems
- Article/chapterEnglish2018
Publisher, publication year, extent ...
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC,2018
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- LIBRIS-ID:oai:DiVA.org:liu-145240
- https://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-145240URI
- https://doi.org/10.1109/TAC.2017.2713241DOI
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- Language:English
- Summary in:English
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- Funding Agencies|Swedish Research Council [2015-04390]
- 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.
Subject headings and genre
- TEKNIK OCH TEKNOLOGIER Elektroteknik och elektronik Reglerteknik hsv//swe
- ENGINEERING AND TECHNOLOGY Electrical Engineering, Electronic Engineering, Information Engineering Control Engineering hsv//eng
- Concave systems; nonlinear cooperative systems; positive equilibrium points; stability and stabilization; subhomogeneous systems
Added entries (persons, corporate bodies, meetings, titles ...)
- Ticozzi, FrancescoUniv Padua, Italy; Dartmouth Coll, NH 03755 USA (author)
- Altafini, ClaudioLinköpings universitet,Reglerteknik,Tekniska fakulteten(Swepub:liu)claal20 (author)
- Univ Padua, Italy; Tech Univ Munich, GermanyUniv Padua, Italy; Dartmouth Coll, NH 03755 USA (creator_code:org_t)
Related titles
- In:IEEE Transactions on Automatic Control: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC63:2, s. 402-4170018-92861558-2523
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