Symmetries, stability, and control in nonlinear systems and networks
Author(s)Russo, Giovanni; Slotine, Jean-Jacques E.
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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.
DepartmentMassachusetts Institute of Technology. Nonlinear Systems Laboratory
Physical Review E
American Physical Society (APS)
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
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