Generalized mixed-μ bounds for real and complex multiple-block uncertainty with internal matrix structure

DOI10.1080/00207179608921657zbMath0857.93074OpenAlexW2081111876MaRDI QIDQ4894035

Dennis S. Bernstein, Vijaya-Sekhar Chellaboina, Wassim M. Haddad

Publication date: 27 November 1996

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

Full work available at URL: https://doi.org/10.1080/00207179608921657

zbMATH Keywords

uncertaintystabilizationrobust stabilityabsolute Popov-type stabilitynondiagonal real uncertain blocksstructured singular value bounds

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Popov-type stability of feedback systems (93D10) Adaptive or robust stabilization (93D21) Robust stability (93D09)

Related Items (4)

Structured matrix norms for real and complex block-structured uncertainty ⋮ The structured phase margin for robust stability analysis of linear systems with phase and time delay uncertainties ⋮ An implicit small gain condition and an upper bound for the real structured singular value ⋮ Robust performance analysis for uncertain negative‐imaginary systems

Cites Work

• The complex structured singular value
• A Popov criterion for uncertain linear multivariable systems
• Necessary and sufficient conditions of stability: a multiloop generalization of the circle criterion
• Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics
• The largest singular value of e/sup X/A/sub 0/e/sup -X/ is convex on convex sets of commuting matrices
• Extensions of mixed-µbounds to monotonic and odd monotonic nonlinearities using absolute stability theory
• Linear Matrix Inequalities in System and Control Theory
• Stability Conditions for Systems with Monotone and Slope-Restricted Nonlinearities
• Algebraic Structure of Generalized Positive Real Matrices
• Stability of a Class of Differential Equations with a Single Monotone Nonlinearity

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