Stability multipliers and μ upper bounds: connections and implications for numerical verification of frequency domain conditions

DOI10.1109/9.763207zbMath0960.93044OpenAlexW2099076091MaRDI QIDQ4506765

Yung-Shan Chou, André L. Tits, Venkataramanan Balakrishnan

Publication date: 17 October 2000

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/95b8d78c89685d77fdc09251f225d7720ba47954

zbMATH Keywords

discrete-time systems robust stability linear matrix inequality passivity scaling Kalman-Yakubovich-Popov lemma structured uncertainties Popov criteria basis function method frequency gridding method mixed structured singular values

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Discrete-time control/observation systems (93C55) Popov-type stability of feedback systems (93D10) Eigenvalue problems (93B60) Robust stability (93D09)

Related Items (9)

Lossless \(H_\infty\)-synthesis for 2D systems (special issue JCW) ⋮ Robust stability and performance analysis based on integral quadratic constraints ⋮ An alternative Kalman-Yakubovich-Popov lemma and some extensions ⋮ Factorization of multipliers in passivity and IQC analysis ⋮ A parameterization of parahermitian matrix functions and its application to a state-space solution for \(\mu\)-analysis ⋮ Robust dichotomy of the Lur'e system with structured uncertainties ⋮ An existence result for polynomial solutions of parameter-dependent lmis ⋮ Computation of stability robustness bounds for linear discrete-time systems with time-varying parametric uncertainties ⋮ On mixed-\(\mu\) synthesis

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