Qualitative Stability of Nonlinear Networked Systems
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1603.06483.pdf
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501.22 KB
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Author(s)
Angulo, Marco Tulio
Slotine, Jean-Jacques
Date Issued
2017
Journal
IEEE Transactions on Automatic Control
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Angulo, Marco Tulio, and Jean-Jacques Slotine. “Qualitative Stability of Nonlinear Networked Systems.” IEEE Transactions on Automatic Control 62, no. 8 (August 2017): 4080–4085. doi:10.1109/tac.2016.2617780.
Version
Original manuscript
Abstract
© 2017 IEEE. In many large systems, such as those encountered in biology or economics, the dynamics are nonlinear and are only known very coarsely. It is often the case, however, that the signs (excitation or inhibition) of individual interactions are known. This technical note extends to nonlinear systems the classical criteria of linear sign stability introduced in the 70's, yielding simple sufficient conditions to determine stability using only the sign patterns of the interactions.
MIT Department
Massachusetts Institute of Technology. Nonlinear Systems Laboratory
Massachusetts Institute of Technology. Department of Mechanical Engineering
Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1109/TAC.2016.2617780
