On sufficient conditions for the stability of interval matrices

DOI10.1080/00207178608933665zbMath0602.65023OpenAlexW2129373084MaRDI QIDQ5903241

Mohammad B. Argoun

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00207178608933665

zbMATH Keywords

stabilityinterval analysisinterval matricesGershgorin's theorem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Interval and finite arithmetic (65G30)

Related Items

A sufficient condition for stability of a polytope of matrices ⋮ Correcting Argoun's approach for the stability of interval matrices ⋮ Stability robustness of linear discrete-time systems under time-varying perturbations ⋮ An iterative algorithm for the stability analysis of dynamic interval systems ⋮ Robust stability of interval parameter matrices ⋮ Robust stabilization for uncertain discrete singular systems ⋮ Stability robustness bounds for linear state-space models with structured uncertainty based on ellipsoidal set-theoretic approach. ⋮ Unnamed Item ⋮ Sufficient conditions for the stability of interval matrices ⋮ Reduced conservatism in stability analysis of interval matrices

Cites Work

• Unnamed Item
• Counter-example to a recent result on the stability of interval matrices by S. Bialas
• Comments on ‘ A necessary and sufficient condition for the stability of interval matrices ’†
• Sufficient conditions for stability of interval matrices
• A necessary and sufficient condition for the stability of interval matrices
• Perturbation bounds for robust stability in linear state space models
• Allowable coefficient perturbations with preserved stability of a Hurwitz polynomial†
• Linear system stability under parameter uncertainties

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