Abstract
This paper deals with some optimal control problems governed by ordinary differential equations with Radon measures as data and with pointwise state constraints. We study the properties of the value function and obtain its characterization by means of an auxiliary control problem of absolutely continuous trajectories. For this, we use some known techniques of reparametrization and graph completion. We are also interested in the characterization of the value function as the unique constrained viscosity solution of a Hamilton-Jacobi equation with measurable time dependant Hamiltonians.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 18th IFAC World Congress |
| Publisher | IFAC Secretariat |
| Pages | 2583-2588 |
| Number of pages | 6 |
| Edition | 1 PART 1 |
| ISBN (Print) | 9783902661937 |
| DOIs | |
| Publication status | Published - 2011 |
| Externally published | Yes |
Publication series
| Name | IFAC Proceedings Volumes (IFAC-PapersOnline) |
|---|---|
| Number | 1 PART 1 |
| Volume | 44 |
| ISSN (Print) | 1474-6670 |
Cite this
Forcadel, N., Rao, Z., & Zidani, H. (2011). Optimal control problems of BV trajectories with pointwise state constraints. In Proceedings of the 18th IFAC World Congress (1 PART 1 ed., pp. 2583-2588). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 44, No. 1 PART 1). IFAC Secretariat. https://doi.org/10.3182/20110828-6-IT-1002.01694