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Optimal control problems of BV trajectories with pointwise state constraints

Forcadel, Nicolas; Rao, Zhiping; Zidani, Hasnaa (2011), Optimal control problems of BV trajectories with pointwise state constraints, in IFAC, Proceedings of the 18th IFAC World Congress, 2011, IFAC

Type
Communication / Conférence
External document link
http://hal.inria.fr/inria-00639021/fr/
Date
2011
Conference title
18th IFAC World Congress, 2011
Conference date
2011-08
Conference city
Milan
Conference country
Italie
Book title
Proceedings of the 18th IFAC World Congress, 2011
Book author
IFAC
Publisher
IFAC
ISBN
978-3-902661-93-7
Publication identifier
Metadata
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Author(s)
Forcadel, Nicolas cc
Rao, Zhiping
Zidani, Hasnaa
Abstract (EN)
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.
Subjects / Keywords
Control of constrained systems; Nonlinear system control; Generalized solutions of Hamilton-Jacobi equations