Reduced conservatism in stability analysis of interval matrices

DOI10.1007/BF00941304zbMath0794.93082OpenAlexW2093189325MaRDI QIDQ1321086

Djordjija B. Petkovski

Publication date: 23 August 1994

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00941304

zbMATH Keywords

numerical examplesLyapunov stabilitystability of interval matrices

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

Cites Work

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• Root-locus approach to the stability analysis of interval matrices
• Simple criteria for stability of interval matrices
• 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
• Invariance of the strict Hurwitz property for polynomials with perturbed coefficients
• A necessary and sufficient condition for the stability of interval matrices
• The stability of the grey linear system
• Stability analysis of interval matrices: another sufficient condition
• Allowable coefficient perturbations with preserved stability of a Hurwitz polynomial†
• A necessary and sufficient condition for the positive-definiteness of interval symmetric matrices
• Linear system stability under parameter uncertainties
• Strictly Hurwitz property invariance of quartics under coefficient perturbation
• On sufficient conditions for the stability of interval matrices

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