Symmetries, stability, and control in nonlinear systems and networks
Name
Russo-2011-Symmetries, stability, and control in nonlinear.pdf
Size
790.42 KB
Format
Adobe PDF
Checksum (MD5)
101c972fe4cc2643547c15a8d1f05435
Author(s)
Russo, Giovanni
Slotine, Jean-Jacques E.
Date Issued
October 2011
Journal
Physical Review E
Publisher
American Physical Society (APS)
Citation
Russo, Giovanni, and Jean-Jacques Slotine. “Symmetries, stability, and control in nonlinear systems and networks.” Physical Review E 84.4 (2011): n. pag. Web. 25 Jan. 2012. © 2011 American Physical Society
Version
Final published version
Abstract
This paper discusses the interplay of symmetries and stability in the analysis and control of nonlinear dynamical systems and networks. Specifically, it combines standard results on symmetries and equivariance with recent convergence analysis tools based on nonlinear contraction theory and virtual dynamical systems. This synergy between structural properties (symmetries) and convergence properties (contraction) is illustrated in the contexts of network motifs arising, for example, in genetic networks, from invariance to environmental symmetries, and from imposing different patterns of synchrony in a network.
MIT Department
Massachusetts Institute of Technology. Nonlinear Systems Laboratory
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevE.84.041929
