Local bifurcations of control-affine systems in the plane

DOI10.1007/s10883-006-9008-yzbMath1113.93024OpenAlexW2125648881MaRDI QIDQ885028

Marek W. Rupniewski

Publication date: 7 June 2007

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-006-9008-y

zbMATH Keywords

phase portraits1-parameter familylocal classification

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Canonical structure (93B10) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (2)

A classification of generic families of control-affine systems and their bifurcations ⋮ Local controllability bifurcations in families of bidynamical systems on the plane

Cites Work

• Optimal syntheses for control systems on 2-D manifolds
• On pairs of foliations defined by vector fields in the plane
• Feedback classification of nonlinear control systems on 3-manifolds
• Bifurcations of 1-parameter Families of Control-affine Systems in the Plane
• A General Theorem on Local Controllability
• Classification of Generic Singularities for the Planar Time-Optimal Synthesis
• Cells of controlled dynamical systems on the plane
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