Robust stability conditions for a family of linear discrete-time systems subjected to uncertainties

DOI10.1134/S0005117921080117zbMath1475.93087OpenAlexW3200588389MaRDI QIDQ2052599

M. V. Khlebnikov, Yana I. Kvinto

Publication date: 26 November 2021

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117921080117

zbMATH Keywords

robustnesslinear matrix inequalitylinear discrete-time systemstructured matrix uncertaintyparametric Lyapunov function

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Robust stability (93D09)

Uses Software

• CVX

Cites Work

• Robust control of uncertain systems: classical results and recent developments
• Petersen's Lemma on matrix uncertainty and its generalizations
• A stabilization algorithm for a class of uncertain linear systems
• A new discrete-time robust stability condition
• \(S\)-variable approach to LMI-based robust control
• Optimization of linear systems subject to bounded exogenous disturbances: the invariant ellipsoid technique
• LMI conditions for robust stability analysis based on polynomially parameter-dependent Lyapunov functions
• Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
• Linear Matrix Inequalities in System and Control Theory
• Output feedback H_∞ control of systems with parameter uncertainty
• Quadratic stability and stabilization of dynamic interval systems
• Correction to "Quadratic Stability and Stabilization of Dynamic Interval Systems"

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