Hurwitz testing sets for parallel potytopes of polynomials

DOI10.1016/0167-6911(90)90002-CzbMath0716.93042OpenAlexW2087824390MaRDI QIDQ753761

Anders Rantzer

Publication date: 1990

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(90)90002-c

zbMATH Keywords

uncertain parametersHurwitz stabilityKharitonov's theoremsimultaneous stability

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Robust stability (93D09) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (6)

Generalized PI controllability ⋮ Conditions for the Schur stability of segments of polynomials of the same degree ⋮ Extreme point results for robust stability of interval plants: Beyond first order compensators ⋮ Diamond and simplex stability regions ⋮ A survey of extreme point results for robustness of control systems ⋮ Bibliography on robust control

Cites Work

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• A necessary and sufficient condition for the stability of convex combinations of stable polynomials or matrices
• Root locations of an entire polytope of polynomials: It suffices to check the edges
• The stability of a family of polynomials can be deduced from a finite number 0(k/sup 3/) of frequency checks
• Parameter partitioning via shaping conditions for the stability of families of polynomials
• An elementary proof of Kharitonov's stability theorem with extensions
• A class of stability regions for which a Kharitonov-like theorem holds
• Some discrete-time counterparts to Kharitonov's stability criterion for uncertain systems
• Strong Kharitonov theorems for low-order polynomials

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