Quadratic stabilization of discrete-time bilinear systems

DOI10.1134/S0005117918070044zbMath1400.93256OpenAlexW4232861460MaRDI QIDQ1792588

M. V. Khlebnikov

Publication date: 12 October 2018

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

Full work available at URL: https://doi.org/10.1134/s0005117918070044

zbMATH Keywords

linear matrix inequalitiesquadratic Lyapunov functionlinear feedbackdiscrete-time bilinear systemdomain of stabilizabilitystabilizability ellipsoid

Mathematics Subject Classification ID

Feedback control (93B52) Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55)

Related Items (2)

Data-based stabilization of unknown bilinear systems with guaranteed basin of attraction ⋮ Optimization of bilinear control systems subjected to exogenous disturbances. III: Robust formulations

Uses Software

• CVX

Cites Work

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• Quadratic stabilization of bilinear control systems
• New generalizations of the Petersen lemma
• Stability analysis of bilinear systems under aperiodic sampled-data control
• On the global linearization of bilinear systems
• On stability cones for quadratic systems of differential equations
• Petersen's Lemma on matrix uncertainty and its generalizations
• A stabilization algorithm for a class of uncertain linear systems
• Adaptive nonlinear control without overparametrization
• Bilinear control processes. With applications to engineering, ecology, and medicine
• On the stabilization of the homogeneous bilinear systems
• Nonlinear control systems.
• Stabilizability of bilinear systems of canonical form
• On the controllability of a class of discrete bilinear systems
• On controllability of two-dimensional discrete-time bilinear systems
• On asymptotically stabilizing feedback control of bilinear systems
• Linear Matrix Inequalities in System and Control Theory
• Nonlinear State Feedback Design With a Guaranteed Stability Domain for Locally Stabilizable Unstable Quadratic Systems
• Global Asymptotic Stabilization for a Class of Bilinear Systems by Hybrid Output Feedback
• Stabilization of bilinear systems on the plane by constant and relay controls
• The method of rotating Lyapunov functions in the stabilization problem for two-dimensional bilinear systems

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