On Existence of Separable Contraction Metrics for Monotone Nonlinear Systems * *This work was supported by the Australian Research Council.
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1704.02676.pdf
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Author(s)
Manchester, Ian R.
Slotine, Jean-Jacques E
Date Issued
July 2017
Journal
IFAC-PapersOnLine
Publisher
Elsevier BV
Citation
Manchester, Ian R. and Jean-Jacques E. Slotine. “On Existence of Separable Contraction Metrics for Monotone Nonlinear Systems * *This Work Was Supported by the Australian Research Council.” IFAC-PapersOnLine 50, 1 (July 2017): 8226–8231. © 2016 IFAC (International Federation of Automatic Control)
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Author's final manuscript
Abstract
© 2017 Finding separable certificates of stability is important for tractability of analysis methods for large-scale networked systems. In this paper we consider the question of when a nonlinear system which is contracting, i.e. all solutions are exponentially stable, can have that property verified by a separable metric. Making use of recent results in the theory of positive linear systems and separable Lyapunov functions, we prove several new results showing when this is possible, and discuss the application of to nonlinear distributed control design via convex optimization.
MIT Department
Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences
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Creative Commons Attribution-NonCommercial-NoDerivs License
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DOI of Published Version
https://doi.org/10.1016/J.IFACOL.2017.08.1389
