Non-linear systems: stability and rationality

DOI10.1080/00207178408933254zbMath0567.93038OpenAlexW1990051541MaRDI QIDQ3683992

Jacob Hammer

Publication date: 1984

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178408933254

zbMATH Keywords

fraction representationnonlinear discrete-time recursive systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Input-output approaches in control theory (93D25) Algebraic methods (93B25) Model systems in control theory (93C99)

Related Items (19)

On non-linear systems, additive feedback, and rationality ⋮ Geometric control theory ⋮ Geometrical and topological methods in optimal control theory ⋮ Operator-Based Robust Right Coprime Factorization and a Nonlinear Control Scheme for Nonlinear Plant with Unknown Perturbations ⋮ Perturbed nonlinear systems control using extended robust right coprime factorisation ⋮ Construction of the left coprime fractional representation for a class of nonlinear control systems ⋮ Dynamic right coprime factorization for nonlinear systems ⋮ Representations of non-linear systems: the NARMAX model ⋮ Generalization of Transfer Equivalence for Discrete-Time Non-Linear Systems: Comparison of Two Definitions ⋮ Tracking and approximate model matching for non-linear systems ⋮ Robust control for nonlinear systems with unknown perturbations using simplified robust right coprime factorisation ⋮ Transfer equivalence and realization of nonlinear higher order input-output difference equations ⋮ Unnamed Item ⋮ State feedback for non-linear control systems ⋮ Fraction representations of non-linear systems and non-additive state feedback ⋮ 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

Cites Work

• Linear multivariable systems
• The feedback interconnection of lumped linear time-invariant systems
• Feedback representation of precompensators†
• A Frequency-Domain Condition for the Stability of Feedback Systems Containing a Single Time-Varying Nonlinear Element
• Regulation and Internal Stabilization in Linear Multivariable Systems
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