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Spectral Conditions...
Spectral Conditions for Stability and Stabilization of Positive Equilibria for a Class of Nonlinear Cooperative Systems
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- Abara, Precious Ugo (författare)
- Univ Padua, Italy; Tech Univ Munich, Germany
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- Ticozzi, Francesco (författare)
- Univ Padua, Italy; Dartmouth Coll, NH 03755 USA
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- Altafini, Claudio (författare)
- Linköpings universitet,Reglerteknik,Tekniska fakulteten
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(creator_code:org_t)
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 2018
- 2018
- Engelska.
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Ingår i: IEEE Transactions on Automatic Control. - : IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC. - 0018-9286 .- 1558-2523. ; 63:2, s. 402-417
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
Nyckelord
- Concave systems; nonlinear cooperative systems; positive equilibrium points; stability and stabilization; subhomogeneous systems
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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