Quadratic stabilization of bilinear systems: linear dynamical output feedback

DOI10.1134/S0005117917090016zbMath1386.93235OpenAlexW2756185931MaRDI QIDQ1687002

M. V. Khlebnikov

Publication date: 18 December 2017

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

Full work available at URL: https://doi.org/10.1134/s0005117917090016

zbMATH Keywords

linear matrix inequalitiesbilinear systemsquadratic Lyapunov functionsdomain of stabilizabilitylinear dynamical regulatorstabilizability ellipsoid

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

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• Quadratic stabilization of bilinear control systems
• Stability analysis of bilinear systems under aperiodic sampled-data control
• Suppression of bounded exogenous disturbances: a linear dynamic output controller
• On stability cones for quadratic systems of differential equations
• Suppression of bounded exogenous disturbances: output feedback
• Linear-quadratic and \(\gamma \)-optimal output control laws
• A stabilization algorithm for a class of uncertain linear systems
• Bilinear control processes. With applications to engineering, ecology, and medicine
• All controllers for the general \({\mathcal H}_ \infty\) control problem: LMI existence conditions and state space formulas
• Optimization of linear systems subject to bounded exogenous disturbances: the invariant ellipsoid technique
• Analysis of Bilinear Systems with Sampled-Data State Feedback
• Linear Matrix Inequalities in System and Control Theory
• Global Asymptotic Stabilization for a Class of Bilinear Systems by Hybrid Output Feedback

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