A characterization of single-input planar bilinear systems which admit a smooth stabilizer

DOI10.1016/0167-6911(91)90008-3zbMath0732.93067OpenAlexW2041340626MaRDI QIDQ809971

Andrea Bacciotti, Paolo Boieri

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0167-6911(91)90008-3

zbMATH Keywords

local asymptotic smooth stabilizersingle-input bilinear systems

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)

Related Items

The stabilization of homogeneous cubic vector fields in the plane ⋮ Stabilization of planar bilinear systems using an observer configuration ⋮ Geometrical and topological methods in optimal control theory ⋮ Feedback stabilization of nonlinear driftless systems with applications to homogeneous-type systems ⋮ Unnamed Item ⋮ On the stabilization of a class of bilinear systems in 3-space ⋮ Stabilization of bilinear systems with 2 inputs ⋮ On the stabilization of the homogeneous bilinear systems ⋮ Stabilization of nonlinear systems: A bilinear approach

Cites Work

• Controllability and stability
• Linear stabilizability of planar nonlinear systems
• Stabilization of a class of nonlinear systems by a smooth feedback control
• Stabilization of nonlinear systems in the plane
• Asymptotic stabilization of two dimensional real analytic systems
• On the stabilization of bilinear systems via constant feedback
• Controllability of bilinear systems
• A `universal' construction of Artstein's theorem on nonlinear stabilization
• Stabilization with relaxed controls
• Stability improvement of nonlinear systems by feedback
• Stabilization of nonlinear systems with uncontrollable linearization
• Stabilization of affine in control nonlinear systems
• Stabilization of non-linear control systems: the role of Newton diagrams
• Unnamed Item
• Unnamed Item