Local Realizations of Nonlinear Causal Operators

DOI10.1137/0324013zbMath0613.93010OpenAlexW1997139296MaRDI QIDQ4721912

Bronislaw Jakubczyk

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1137/0324013

zbMATH Keywords

continuous-timerealization problemcontinuous-time smooth nonlinear systemsJacobian rank condition

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Minimal systems representations (93B20) Realizations from input-output data (93B15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (11)

Description of all privileged coordinates in the homogeneous approximation problem for nonlinear control systems ⋮ Geometrical and topological methods in optimal control theory ⋮ Realizable growth vectors of affine control systems ⋮ Realizations of nonlinear analytic input-output maps ⋮ Non-causal Fliess operators and their shuffle algebra ⋮ Fliess series, a generalization of the Ree's theorem, and an algebraic approach to a homogeneous approximation problem ⋮ Transformations of descriptions of nonlinear systems ⋮ On state representations of time-varying nonlinear systems ⋮ Free algebras and noncommutative power series in the analysis of nonlinear control systems: an application to approximation problems ⋮ Representations of control systems in the Fliess algebra and in the algebra of nonlinear power moments. ⋮ Fliess operators on \(L_{p}\) spaces: convergence and continuity

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