On the Radius of Convergence of Interconnected Analytic Nonlinear Input-Output Systems

DOI10.1137/110852760zbMath1257.93050OpenAlexW1978284517MaRDI QIDQ4905927

Makhin Thitsa, W. Steven Gray

Publication date: 21 February 2013

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://digitalcommons.odu.edu/ece_fac_pubs/188

zbMATH Keywords

nonlinear systemsformal power seriesChen-Fliess seriesreal-analytic functionals

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Operator-theoretic methods (93B28)

Related Items (8)

Generating series for networks of Chen-Fliess series ⋮ SISO Output Affine Feedback Transformation Group and Its Faà di Bruno Hopf Algebra ⋮ Continuity of formal power series products in nonlinear control theory ⋮ Formal power series approach to nonlinear systems with additive static feedback ⋮ Computable convergence bounds of series expansions for infinite dimensional linear-analytic systems and application ⋮ Left inversion of analytic nonlinear SISO systems via formal power series methods ⋮ Faà di Bruno Hopf algebra of the output feedback group for multivariable Fliess operators ⋮ Entropy of generating series for nonlinear input-output systems and their interconnections

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