On the robust stability of polynomials with no cross-coupling between the perturbations in the coefficients of even and odd powers

DOI10.1016/0167-6911(89)90037-6zbMath0675.93062OpenAlexW2052428129MaRDI QIDQ1122549

E. R. Panier, André L. Tits, Michael Ko-Hui Fan

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)90037-6

zbMATH Keywords

robust stability\textit{V. L. Kharitonov}'s theorem

Mathematics Subject Classification ID

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

Structured singular values and stability analysis of uncertain polynomials. II: A missing link, A survey of extreme point results for robustness of control systems, Bibliography on robust control, A Routh-like test for the stability of families of polynomials with linear uncertainty, Unified approach to robust performance of a class of transfer functions with multilinearly correlated perturbations

Cites Work

• Unnamed Item
• 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
• Convex combinations of stable polynomials
• Stability of families of polynomials: geometric considerations in coefficient space
• Computation of the real structured singular value via polytopic polynomials