Stabilization of non-linear control systems: the role of Newton diagrams

DOI10.1080/00207178908559685zbMath0682.93046OpenAlexW2055859954MaRDI QIDQ4732389

I. Ighneiwa, Peter E. Crouch

Publication date: 1989

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178908559685

zbMATH Keywords

Newton diagramcentre manifoldstwo-dimensional nonlinear control systemsNewton or Puiseux polygon

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 (2)

Geometrical and topological methods in optimal control theory ⋮ A characterization of single-input planar bilinear systems which admit a smooth stabilizer

Cites Work

• Controllability and stability
• Local and global controllability for nonlinear systems
• Local feedback stabilization and bifurcation control. I. Hopf bifurcation
• Remarks on smooth feedback stabilization of nonlinear systems
• Feedback stabilization of single-input nonlinear systems
• Global stabilizability of homogeneous vector fields of odd degree
• Some comments on stabilizability
• Applications of centre manifold theory
• Subanalytic sets and feedback control
• The stable, center-stable, center, center-unstable, unstable manifolds
• A Lyapunov-Like Characterization of Asymptotic Controllability
• Feedback control of nonlinear systems by extended linearization
• The Local Stabilizability Problem for Nonlinear Systems

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