Center Problem, Abel Equation and the Faà di Bruno Hopf Algebra for Output Feedback

DOI10.1093/imrn/rnw167zbMath1405.34024arXiv1507.06939OpenAlexW1562624660MaRDI QIDQ4612027

W. Steven Gray, Kurusch Ebrahimi-Fard

Publication date: 22 January 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.06939

Mathematics Subject Classification ID

Feedback control (93B52) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Hopf algebras and their applications (16T05)

Related Items (3)

Formal power series approach to nonlinear systems with additive static feedback ⋮ On the rational limit cycles of Abel equations ⋮ Entropy of generating series for nonlinear input-output systems and their interconnections

This page was built for publication: Center Problem, Abel Equation and the Faà di Bruno Hopf Algebra for Output Feedback