A test for stability robustness of linear time-varying systems utilizing the linear time-invariant ν-gap metric

DOI10.1002/rnc.1358zbMath1163.93376OpenAlexW2160541467MaRDI QIDQ3632986

Wynita M. Griggs, Alexander Lanzon, Brian D. O. Anderson

Publication date: 16 June 2009

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

Full work available at URL: https://doi.org/10.1002/rnc.1358

zbMATH Keywords

stability robustnessstructured uncertainty\(\nu\)-gap metriclinear time-varying uncertainty

Mathematics Subject Classification ID

Frequency-response methods in control theory (93C80) Linear systems in control theory (93C05) Robust stability (93D09)

Cites Work

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• The gap metric for time-varying systems
• On the robust stabilizability of uncertain linear time-invariant plants using nonlinear time-varying controllers
• Sufficient conditions for robust BIBO stabilization: Given by the gap metric
• On the computation of the gap metric
• Feedback stability under simultaneous gap metric uncertainties in plant and controller
• Differential stability and robust control of nonlinear systems
• Weight optimisation in \(\mathcal H_{\infty}\) loop-shaping
• Chain-scattering approach to \(H^ \infty\) control
• Frequency domain uncertainty and the graph topology
• Robust stabilization of normalized coprime factor plant descriptions with H/sub infinity /-bounded uncertainty
• Quadratic stability with real and complex perturbations
• Basic procedure for model comparison using the gap metric
• A loop-shaping design procedure using H/sub infinity / synthesis
• Optimal robustness in the gap metric
• Robust stability with time-varying structured uncertainty
• Robustness analysis of nonlinear feedback systems: an input-output approach
• Structured and simultaneous Lyapunov functions for system stability problems
• Frequency-domain criteria of robust stability for slowly time-varying systems
• The gap metric: Robustness of stabilization of feedback systems
• The Vinnicombe metric for nonlinear operators
• Controller Discretization: A Gap Metric Framework for Analysis and Synthesis
• Gap Metrics, Representations, and Nonlinear Robust Stability
• Branch-and-cut algorithms for the bilinear matrix inequality eigenvalue problem

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