Robust Matrix Root-Clustering Analysis through Extended KYP Lemma

DOI10.1137/S036301290444349XzbMath1132.93033WikidataQ125044032 ScholiaQ125044032MaRDI QIDQ3427480

Driss Mehdi, Olivier Bachelier

Publication date: 20 March 2007

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

zbMATH Keywords

KYP lemma\(\partial\mathcal D\)-regularitygeneralized S-procedurematrix \(\mathcal D\)-stability

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Eigenvalue problems (93B60) Robust stability (93D09) Stability of solutions to ordinary differential equations (34D20)

Related Items (8)

On Generalised Stein's Inequalites and the Inertias of Their Solutions: Application to Pencil Finite Root-Clustering ⋮ On some relaxations commonly used in the study of linear systems ⋮ On the robust state-feedback stabilisation of nD hybrid Roesser models with implicit LFR uncertainty ⋮ Robust stability of hybrid Roesser models against parametric uncertainty: a general approach ⋮ Robust control with finite frequency specification for uncertain discrete linear repetitive processes ⋮ Robust pole-clustering of structured uncertain systems in union of disjointed circular regions ⋮ Method of forbidden regions in the dynamic system matrices root clustering problem ⋮ Robust \(\mathcal S\)-regularity of matrix pencils applied to the analysis of descriptor models

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