Name
Title | ||
|---|---|---|
A contact covariant approach to optimal control with applications to sub-Riemannian geometry |
Abstract | ||
|---|---|---|
We discuss contact geometry naturally related with optimal control problems (and Pontryagin Maximum Principle). We explore and expand the observations of Ohsawa (Autom J IFAC 55:1–5, 2015), providing simple and elegant characterizations of normal and abnormal sub-Riemannian extremals. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1007/s00498-016-0176-3 | MCSS |
Keywords | Field | DocType |
Pontryagin maximum principle, Contact geometry, Contact vector field, Sub-Riemannian geometry, Abnormal extremal, 49K15, 53D10, 53C17, 58A30 | Optimal control,Contact geometry,Covariant transformation,Mathematical analysis,Pontryagin's minimum principle,Riemannian geometry,Hamiltonian (control theory),Mathematics | Journal |
Volume | Issue | ISSN |
28 | 3 | 1435-568X |
Citations | PageRank | References |
2 | 0.53 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| MichałJóźwikowski | 1 | 4 | 1.22 |
| Witold Respondek | 2 | 123 | 31.10 |