Qualitative Stability of Nonlinear Networked Systems

© 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...

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Bibliographic Details
Main Authors: Angulo, Marco Tulio, Slotine, Jean-Jacques
Other Authors: Massachusetts Institute of Technology. Nonlinear Systems Laboratory
Format: Article
Published: Institute of Electrical and Electronics Engineers (IEEE) 2021
Online Access:https://hdl.handle.net/1721.1/135750
Description
Summary:© 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.