Absolute stabilization related to circle criterion: An LMI-based approach

DOI10.1007/BF02446496zbMath1049.93066OpenAlexW127291855MaRDI QIDQ1430601

Ying Yang, Lin Huang

Publication date: 27 May 2004

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02446496

zbMATH Keywords

absolute stability\(H_\infty\) controllinear matrix inequalities

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Popov-type stability of feedback systems (93D10)

Uses Software

• LMI toolbox

Cites Work

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• All controllers for the general \({\mathcal H}_ \infty\) control problem: LMI existence conditions and state space formulas
• A connection between \(H^ \infty\) control and the absolute stabilizability of uncertain systems
• LMI representation of the shifted Popov criterion
• LMI-based controller synthesis: a unified formulation and solution
• Robust stability of Lure systems with time-varying uncertainties: A linear matrix inequality approach