Robust controllability and observability degrees of polynomially uncertain systems

DOI10.1016/J.AUTOMATICA.2009.07.017zbMath1180.93020OpenAlexW1979540922MaRDI QIDQ1049163

Amir G. Aghdam, Somayeh Sojoudi, Javad Lavaei

Publication date: 8 January 2010

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://spectrum.library.concordia.ca/975171/1/Aghdam2009d.pdf

zbMATH Keywords

large scale systemssum-of-squaresanalysis of systems with uncertaintiesoptimization under uncertainties

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Controllability (93B05) Control/observation systems with incomplete information (93C41) Observability (93B07)

Related Items (7)

Algebraic criterion for robust controllability of continuous linear time-delay systems with parametric uncertainties ⋮ Model order reduction of random parameter-dependent linear systems ⋮ Guaranteed cost \(H_\infty \) controller synthesis for switched systems defined on semi-algebraic sets ⋮ Controllability robustness of linear interval systems with/without state delay and with unstructured parametric uncertainties ⋮ Robust controllability assessment via semi-definite programming ⋮ Robust controllability and observability degrees of polynomially uncertain systems ⋮ Robust controllability assessment and optimal actuator placement in dynamic networks

Uses Software

• Matlab
• Sostools
• YALMIP

Cites Work

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• Robust Stability of LTI Systems Over Semialgebraic Sets Using Sum-of-Squares Matrix Polynomials
• Polynomially parameter-dependent Lyapunov functions for robust stability of polytopic systems: an LMI approach

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