A Kharitonov-like theorem for interval polynomial matrices

DOI10.1016/0167-6911(91)90004-XzbMath0732.93060MaRDI QIDQ809965

Hideki Kokame, Takehiro Mori

Publication date: 1991

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

zbMATH Keywords

Kharitonov's theoremrobust stability of interval polynomial matrices

Mathematics Subject Classification ID

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 (7)

Extremal robustness properties of multilinear interval systems ⋮ Robust stability of multivariable interval control systems ⋮ Sufficient conditions for the stability of interval systems with multiple time-varying delays ⋮ Condition and algorithm for simultaneous stabilization of linear plants ⋮ Bibliography on robust control ⋮ Necessary and sufficient conditions for robust stability of discrete systems with coefficients depending continuously on two interval parameters ⋮ Determinative vertices of interval family with \(\Omega_\theta\)-stability.

Cites Work

• Root locations of an entire polytope of polynomials: It suffices to check the edges
• Counter-example to a recent result on the stability of interval matrices by S. Bialas
• Comments on ‘ A necessary and sufficient condition for the stability of interval matrices ’†
• A necessary and sufficient condition for the stability of interval matrices
• A generalization of Kharitonov's theorem; Robust stability of interval plants
• Tests of stability of multidimensional filters
• Unnamed Item

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