Name
Title | ||
|---|---|---|
On The Geometric Interpretation Of The Polynomial Lie Bracket For Nonlinear Time-Delay Systems |
Abstract | ||
|---|---|---|
Time delay systems are infinite dimensional, thus standard differential geometric tools can not be applied in a straightforward way. Though, thanks to a suitable extended Lie Bracket or Polynomial Lie Bracket which has been introduced recently, it is still possible to build up a geometric framework to tackle the analysis and synthesis problems for nonlinear time delay systems. The major contribution herein is to show that those geometric generalizations are not just formal, but are interpreted in terms of successive forward and backward flows similarly to the Lie Bracket of delay free vector fields. |
Year | Venue | Keywords |
|---|---|---|
2016 | 2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC) | Time-delay systems, Lie bracket, geometric approach, nonlinear systems |
Field | DocType | ISSN |
Discrete mathematics,Mathematical optimization,Nonlinear system,Algebra,Polynomial,Generalization,Vector field,Lie bracket of vector fields,Lie algebra,Mathematics,Trajectory | Conference | 0743-1546 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Claudia Califano | 1 | 68 | 11.38 |
| Stefano Battilotti | 2 | 136 | 42.34 |
| Claude H. Moog | 3 | 284 | 48.17 |