Robust Root-Clustering of a Matrix in Intersections or Unions of Regions

DOI10.1137/S0363012903432365zbMath1101.93059OpenAlexW2061242746MaRDI QIDQ4652574

Olivier Bachelier, Driss Mehdi, Bernard Pradin, Didier Henrion

Publication date: 28 February 2005

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

Full work available at URL: https://doi.org/10.1137/s0363012903432365

zbMATH Keywords

LMIsrobust stability analysisunstructured uncertaintyinertia of a matrixmatrix root-clustering\(\mathcal D\)-stability radius

Mathematics Subject Classification ID

Semidefinite programming (90C22) Linear inequalities of matrices (15A39) Robust stability (93D09) Stability of solutions to ordinary differential equations (34D20)

Related Items (11)

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 ⋮ Loose eigenstructure assignment via rank-one LMI approach with application to transient response shaping in H _∞ control ⋮ On the Kalman-Yakubovich-Popov lemma and the multidimensional models ⋮ New tests for the stability of 3D Roesser models ⋮ 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 ⋮ Robust \(\mathcal S\)-regularity of matrix pencils applied to the analysis of descriptor models ⋮ Finite Nyquist and finite inclusions theorems for disjoint stability regions ⋮ Unifying Matrix Stability Concepts with a View to Applications ⋮ The problem of generalized \(D\)-stability in unbounded LMI regions and its computational aspects

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