A Routh-like test for the stability of families of polynomials with linear uncertainty

DOI10.1016/0167-6911(89)90017-0zbMath0685.93019OpenAlexW2945987920MaRDI QIDQ1262250

Christopher V. Hollot, Theodore E. Djaferis

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0167-6911(89)90017-0

zbMATH Keywords

robust stabilitylinear uncertaintyRouth-like test

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Stability of control systems (93D99)

Related Items (2)

Bibliography on robust control ⋮ A Routh-like test for the stability of families of polynomials with linear uncertainty

Cites Work

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• Root locations of an entire polytope of polynomials: It suffices to check the edges
• On the robust stability of polynomials with no cross-coupling between the perturbations in the coefficients of even and odd powers
• A Routh-like test for the stability of families of polynomials with linear uncertainty
• The stability of a family of polynomials can be deduced from a finite number 0(k/sup 3/) of frequency checks
• Exact calculation of the multiloop stability margin
• Output feedback stabilization and related problems-solution via decision methods
• Stability of a Hurwitz polynomial under coefficient perturbations: necessary and sufficient conditions
• Inequalities of Higher Degree in One Unknown

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