Construction of the left coprime fractional representation for a class of nonlinear control systems

DOI10.1016/0167-6911(90)90057-2zbMath0699.93039OpenAlexW1991814534MaRDI QIDQ913731

Rui J. P. de Figueiredo, Guan-Rong Chen

Publication date: 1990

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(90)90057-2

zbMATH Keywords

coprimenessleft coprime fractional representations

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Multivariable systems, multidimensional control systems (93C35) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Control/observation systems governed by ordinary differential equations (93C15) Stability of control systems (93D99)

Related Items (9)

A necessary and sufficient condition for right coprime factorization of nonlinear feedback systems ⋮ On fault-tolerant control configurations for a class of nonlinear systems ⋮ Robust stabilization control for uncertain nonlinear systems based on two-step coprime factorization ⋮ On the parametrization of nonlinear finite gain over set stabilizing controllers ⋮ Tracking and approximate model matching for non-linear systems ⋮ Characterization of all nonlinear stabilizing controllers via observer-based kernel representations ⋮ On construction of coprime factorizations for nonlinear feedback control systems ⋮ State feedback control of nonlinear systems: a simple approach ⋮ Preservation of stability under system perturbations in nonlinear control: A simple characterization

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• Coprime fractional representations and stability of non-linear feedback systems
• Left coprime factorizations and a class of stabilizing controllers for non-linear systems
• Smooth stabilization implies coprime factorization

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