Asymptotic stability of time-variant polynomials with diamond-shaped uncertainties

DOI10.1016/S0016-0032(97)00003-3zbMath0912.93050OpenAlexW1997189863WikidataQ127492067 ScholiaQ127492067MaRDI QIDQ1389031

Sandra A. Yost, Peter H. Bauer

Publication date: 31 May 1999

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0016-0032(97)00003-3

zbMATH Keywords

robust stabilityasymptotic stabilitySchur polynomialdiamond-shaped uncertaintiestime-varying discrete system

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) Robust stability (93D09) Model systems in control theory (93C99)

Cites Work

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• Hurwitz stability of weighted diamond polynomials
• Schur stability of interval polynomials
• A necessary and sufficient condition for robust asymptotic stability of time-variant discrete systems
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• Robust Schur polynomial stability and Kharitonov's theorem
• On the robustness of low-order Schur polynomials
• On robust Hurwitz and Schur polynomials
• Kharitonov regions: it suffices to check a subset of vertex polynomials
• An extreme point result of robust stability of a diamond of polynomials
• Stability of polynomials with time-variant coefficients
• Equivalence of stability concepts for discrete time‐varying systems
• Stability of a complex polynomial set with coefficients in a diamond and generalizations
• Robust stability bounds on time-varying perturbations for state-space models of linear discrete-time systems
• Robust stability of time-variant discrete-time systems with bounded parameter perturbations

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