Optimal control problems of BV trajectories with pointwise state constraints

Nicolas Forcadel 1 Zhiping Rao 2, 3 Hasnaa Zidani 2, 3
2 Commands - Control, Optimization, Models, Methods and Applications for Nonlinear Dynamical Systems
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées
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.
Document type :
Conference papers
Complete list of metadatas

Cited literature [1 references]  Display  Hide  Download

https://hal.inria.fr/inria-00639021
Contributor : Hasnaa Zidani <>
Submitted on : Monday, November 7, 2011 - 9:58:15 PM
Last modification on : Monday, September 30, 2019 - 10:46:02 AM
Long-term archiving on : Thursday, November 15, 2012 - 11:26:07 AM

File

FoRaZi_IFAC.pdf
Files produced by the author(s)

Identifiers

Citation

Nicolas Forcadel, Zhiping Rao, Hasnaa Zidani. Optimal control problems of BV trajectories with pointwise state constraints. 18th IFAC World Congress, Aug 2011, Milan, Italy. ⟨10.3182/20110828-6-IT-1002.01694⟩. ⟨inria-00639021⟩

Share

Metrics

Record views

684

Files downloads

264