Singular perturbation margin and generalised gain margin for nonlinear time-invariant systems

DOI10.1080/00207179.2015.1079738zbMath1332.93267OpenAlexW4249401047MaRDI QIDQ2792735

J. Jim Zhu, Xiaojing Yang

Publication date: 14 March 2016

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

Full work available at URL: https://doi.org/10.1080/00207179.2015.1079738

zbMATH Keywords

singular perturbationregular perturbationnonlinear time-invariant systemsstability metrics

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Perturbations in control/observation systems (93C73) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (2)

Definition and analysis of stability margins for a class of nonlinear systems ⋮ Robustness guarantees for structured model reduction of dynamical systems with applications to biomolecular models

Uses Software

• Matlab

Cites Work

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• A novel LMI-based optimization algorithm for the guaranteed estimation of the domain of attraction using rational Lyapunov functions
• Estimating the domain of attraction via union of continuous families of Lyapunov estimates
• Rotational elastic dynamics
• Methods for determination and approximation of the domain of attraction
• Maximal Lyapunov functions and domains of attraction for autonomous nonlinear systems
• On the estimation of asymptotic stability regions: State of the art and new proposals
• Singular perturbation margin and generalised gain margin for linear time-invariant systems
• Bounds on the solution of the time-varying linear matrix differential equation (t) = AH(t) P(t) + P(t) A(t) + Q(t)

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