Kharitonov-like theorems for robust performance of interval systems

DOI10.1016/S0022-247X(03)00010-6zbMath1016.93051OpenAlexW1965127232MaRDI QIDQ1874605

Long Wang

Publication date: 25 May 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00010-6

zbMATH Keywords

\(H_\infty\) controlrobust stabilityinterval systemscomplementary sensitivity functionsKharitonov verticessensitivity (robustness)unit negative feedback

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) (H^infty)-control (93B36) Robust stability (93D09)

Related Items (1)

Robust pole placement in a specified trapezoid region for flexible manipulators

Cites Work

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• Root locations of an entire polytope of polynomials: It suffices to check the edges
• State-space formulae for all stabilizing controllers that satisfy an \(H_{\infty}\)-norm bound and relations to risk sensitivity
• Kharitonov's theorem revisited
• On robust stability of interval control systems
• Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses
• Stability conditions for polytopes of polynomials
• Robust stability under structured and unstructured perturbations

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