Name
Title | ||
|---|---|---|
A classification of generic families of control-affine systems and their bifurcations |
Abstract | ||
|---|---|---|
We study control-affine systems with n − 1 inputs evolving on an n-dimensional manifold for which the distribution spanned by the control vector fields is involutive and of constant rank (equivalently,
they may be considered as 1-dimensional systems with n − 1 inputs entering nonlinearly). We provide a complete classification of such generic systems and their one-parameter families.
We show that a generic family for n > 2 is equivalent (with respect to feedback or orbital feedback transformations) to one of nine canonical forms which differ
from those for n = 2 by quadratic terms only. We also describe all generic bifurcations of 1-parameter families of systems of the above form. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/s00498-010-0047-2 | MCSS |
Keywords | Field | DocType |
feedback equivalence · bifurcation · control system · 1-parameter family · involutive distributions,canonical form,vector field,1 dimensional,control system | Affine transformation,Discrete mathematics,Mathematical optimization,Control vector,Pure mathematics,Quadratic equation,Canonical form,Control system,Mathematics,Manifold,Bifurcation | Journal |
Volume | Issue | ISSN |
21 | 4 | 1435-568X |
Citations | PageRank | References |
0 | 0.34 | 7 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Marek W. Rupniewski | 1 | 0 | 1.69 |
| Witold Respondek | 2 | 123 | 31.10 |