Coprime fractional representations and stability of non-linear feedback systems
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Publication:3812099
DOI10.1080/00207178808906225zbMath0661.93017OpenAlexW2030765412MaRDI QIDQ3812099
Publication date: 1988
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207178808906225
Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Multivariable systems, multidimensional control systems (93C35) Input-output approaches in control theory (93D25) Algebraic methods (93B25)
Related Items (29)
Differential stability and robust control of nonlinear systems ⋮ A necessary and sufficient condition for right coprime factorization of nonlinear feedback systems ⋮ On the stabilizing conic sectors obtained using small-gain techniques ⋮ On fault-tolerant control configurations for a class of nonlinear systems ⋮ Stabilization of nonlinear systems based on a generalized Bézout identity ⋮ A robust sliding mode control for pneumatic servo systems ⋮ A functional approach to LQG balancing ⋮ On the internal stability of diffusively coupled multi-agent systems and the dangers of cancel culture ⋮ Construction of the left coprime fractional representation for a class of nonlinear control systems ⋮ Robust stabilization control for uncertain nonlinear systems based on two-step coprime factorization ⋮ Discrete-time \(H_2\) optimal control under intermittent and lossy communications ⋮ Stability of control systems and graphs of linear systems ⋮ On the parametrization of nonlinear finite gain over set stabilizing controllers ⋮ Parametrization of all stabilizing controllers of nonlinear systems ⋮ A parametrization for the closed-loop identification of nonlinear time-varying systems ⋮ \(L^ 1\) sensitivity minimization for plants with commensurate delays ⋮ Tracking and approximate model matching for non-linear systems ⋮ Robust stabilization of a delay system with saturating actuator or sensor ⋮ A parametrization for closed-loop identification of nonlinear systems based on differentially coprime kernel representations ⋮ Nonlinear time-varying compensation for simultaneous performance ⋮ A note on the coprime fractional representation of nonlinear feedback systems ⋮ Operator-based robust nonlinear control system design for MIMO nonlinear plants with unknown coupling effects ⋮ The parallel projection operators of a nonlinear feedback system ⋮ Fading-memory feedback systems and robust stability ⋮ Coprimeness properties of nonlinear fractional system realizations ⋮ Characterization of all nonlinear stabilizing controllers via observer-based kernel representations ⋮ On construction of coprime factorizations for nonlinear feedback control systems ⋮ Preservation of stability under system perturbations in nonlinear control: A simple characterization ⋮ Performance limitations in sensitivity reduction for nonlinear plants
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