Global feedback stabilization of new class of bilinear systems

DOI10.1016/S0167-6911(00)00101-8zbMath1032.93064WikidataQ126573394 ScholiaQ126573394MaRDI QIDQ5940886

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Publication date: 20 August 2001

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

Bilinear systemsHomogeneous feedbacksNonnegative Lyapunov functionStabilizability

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic stability in control theory (93D20)

Related Items (8)

New results for robust stability of discrete bilinear uncertain time-delay systems ⋮ Analysis and design of quadratic parameter varying (QPV) control systems with polytopic attractive region ⋮ Local stabilization for unstable bilinear systems with input saturation ⋮ Separation principle for a sampled bilinear system ⋮ Robust stability of discrete bilinear uncertain time-delay systems ⋮ Analysis of Bilinear Systems with Sampled-Data State Feedback ⋮ Practical stabilizability of dyadic homogeneous bilinear systems ⋮ Further results for robust stability of homogeneous large-scale bilinear systems with time delays and uncertainties

Cites Work

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• Controllability and stability
• Algebraic and topological classification of the homogeneous cubic vector fields in the plane
• Stabilization of nonlinear systems: A bilinear approach
• Semidefinite Lyapunov functions stability and stabilization
• On asymptotically stabilizing feedback control of bilinear systems
• A separation principle for bilinear systems with dissipative drift

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