Petersen's Lemma on matrix uncertainty and its generalizations

DOI10.1134/S000511790811009XzbMath1163.93021OpenAlexW2002558214WikidataQ124849905 ScholiaQ124849905MaRDI QIDQ1027660

P. S. Shcherbakov, M. V. Khlebnikov

Publication date: 30 June 2009

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000511790811009x

zbMATH Keywords

linear matrix inequalitiesquadratic stabilitysign-definitenessrobust matrixrobustly quadratically stabilizing controllers

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Linear inequalities of matrices (15A39) Control/observation systems with incomplete information (93C41)

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Cites Work

• The \(D\)-decomposition technique for linear matrix inequalities
• A stabilization algorithm for a class of uncertain linear systems
• On the Field of Values of a Matrix
• Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
• Positive Definiteness and Stability of Interval Matrices
• Output feedback H_∞ control of systems with parameter uncertainty
• Quadratic stability and stabilization of dynamic interval systems
• Correction to "Quadratic Stability and Stabilization of Dynamic Interval Systems"