| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Catolica Norte, Dept Matemat, Antofagasta - Chile
[2] Univ Fed Amazonas, Inst Ciencias Exatas, Manaus - Brazil
[3] Univ Estadual Campinas, Inst Matemat Estatist & Ciencias Comp, BR-13081970 Campinas, SP - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | SIAM JOURNAL ON CONTROL AND OPTIMIZATION; v. 48, n. 4, p. 2636-2650, 2009. |
| Web of Science Citations: | 2 |
| Abstract | |
Let G be a Lie group. In order to study optimal control problems on a homogeneous space G/H, we identify its cotangent bundle T{*}G/H as a subbundle of the cotangent bundle of G. Next, this identification is used to describe the Hamiltonian lifting of vector fields on G/H induced by elements in the Lie algebra g of G. As an application, we consider a bilinear control system Sigma in R(2) whose matrices generate sl(2). Through the Pontryagin maximum principle, we analyze the time-optimal problem for the angle system P Sigma defined by the projection of S onto the projective line Sigma(1). We compute some examples, and in particular we show that the bang-bang principle does not need to be true. (AU) | |
| FAPESP's process: | 07/06896-5 - Geometry of control, dynamical and stochastic systems |
| Grantee: | Luiz Antonio Barrera San Martin |
| Support Opportunities: | Research Projects - Thematic Grants |