Qualitative stability of nonlinear networked systems
Systems and Control
2016-03-22 v1 Optimization and Control
Biological Physics
Abstract
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 paper 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.
Keywords
Cite
@article{arxiv.1603.06483,
title = {Qualitative stability of nonlinear networked systems},
author = {Marco Tulio Angulo and Jean-Jacques Slotine},
journal= {arXiv preprint arXiv:1603.06483},
year = {2016}
}
Comments
Submitted to IEEE Transactions on Automatic Control