A classification of generic families of control-affine systems and their bifurcations

DOI10.1007/s00498-010-0047-2zbMath1202.93052OpenAlexW2061578735MaRDI QIDQ711622

Marek W. Rupniewski, Witold Respondek

Publication date: 27 October 2010

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00498-010-0047-2

zbMATH Keywords

feedback equivalencebifurcationcontrol system1-parameter familyinvolutive distributions

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Control/observation systems governed by ordinary differential equations (93C15) Bifurcation control of ordinary differential equations (34H20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local feedback stabilization and bifurcation control. II: Stationary bifurcation
• Local bifurcations of control-affine systems in the plane
• Elements of applied bifurcation theory.
• Equivalence of nonlinear systems to triangular form: the singular case
• Optimal syntheses for control systems on 2-D manifolds
• Feedback classification of nonlinear control systems on 3-manifolds
• Quadratic control systems
• Feedback invariants, critical trajectories and hamiltonian formalism
• Bifurcations of 1-parameter Families of Control-affine Systems in the Plane
• A Geometric Isomorphism with Applications to Closed Loop Controls
• On Feedback Classification of Control-Affine Systems with One- and Two-Dimensional Inputs
• On time scaling for nonlinear systems: Application to linearization
• The Structure of Time-Optimal Trajectories for Single-Input Systems in the Plane: The General Real Analytic Case
• Feedback Equivalence for Nonlinear Systems and the Time Optimal Control Problem
• Extended Quadratic Controller Normal Form and Dynamic State Feedback Linearization of Nonlinear Systems
• A Generic Classification of Time-Optimal Planar Stabilizing Feedbacks
• Bifurcation and Normal Form of Nonlinear Control Systems, Part I
• Feedback Classification of Nonlinear Single-Input Control Systems with Controllable Linearization: Normal Forms, Canonical Forms, and Invariants
• Control Bifurcations
• Feedback Classification of Multi-Input Nonlinear Control Systems

This page was built for publication: A classification of generic families of control-affine systems and their bifurcations