Frequency domain criteria for robust \(\mathcal D\)-stability of MIMO systems based on LMI method

DOI10.1007/s10483-006-0208-yzbMath1148.93026OpenAlexW2365162823MaRDI QIDQ944583

Zhaoping Li, Erxiao Li, Haibin Li, Zhizhen Wang, Long Wang

Publication date: 17 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-006-0208-y

zbMATH Keywords

linear matrix inequalitiesrobust stabilityparametric uncertaintypolynomial matrix

Mathematics Subject Classification ID

Control/observation systems with incomplete information (93C41) Multivariable systems, multidimensional control systems (93C35) Automated systems (robots, etc.) in control theory (93C85) Robust stability (93D09)

Uses Software

• Polynomial Toolbox

Cites Work

• Unnamed Item
• Root locations of an entire polytope of polynomials: It suffices to check the edges
• D-stability of polynomial matrices
• A generalization of Kharitonov's theorem; Robust stability of interval plants
• Optimal tracking performance for SIMO systems
• An LMI condition for robust stability of polynomial matrix polytopes