The maximal contractively invariant ellipsoids for discrete-time linear systems under saturated linear feedback

DOI10.1016/j.automatica.2016.10.007zbMath1352.93072OpenAlexW2560799809MaRDI QIDQ503194

Zongli Lin, Yuanlong Li

Publication date: 11 January 2017

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2016.10.007

zbMATH Keywords

domain of attractionactuator saturationellipsoidal invariant set

Mathematics Subject Classification ID

Feedback control (93B52) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Attainable sets, reachability (93B03)

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Cites Work

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• Piecewise-affine Lyapunov functions for discrete-time linear systems with saturating controls
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• On the tightness of a recent set invariance condition under actuator saturation
• A Complete Characterization of the Maximal Contractively Invariant Ellipsoids of Linear Systems Under Saturated Linear Feedback
• Polyhedral regions of local stability for linear discrete-time systems with saturating controls
• Local stabilization of discrete-time linear systems with saturating controls: an LMI-based approach
• Stability and Stabilization of Linear Systems with Saturating Actuators
• Exact characterization of invariant ellipsoids for single input linear systems subject to actuator saturation
• Absolute stability analysis of discrete-time systems with composite quadratic Lyapunov functions
• Estimation of the domain of attraction for saturated discrete-time systems
• Control systems with actuator saturation: analysis and design
• Analysis and design for discrete-time linear systems subject to actuator saturation

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