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JOTA
2010
144views more  JOTA 2010»
12 years 11 months ago
On a PDE Arising in One-Dimensional Stochastic Control Problems
The paper provides a systematic way for finding a partial differential equation that directly characterizes the optimal control, in the framework of one
Ricardo Josa-Fombellida, Juan Pablo Rincón-...
CDC
2008
IEEE
149views Control Systems» more  CDC 2008»
13 years 11 months ago
Optimal control of a parabolic PDE system arising in plasma transport via diffusivity-interior-boundary actuation
— In this paper, we study an optimal control problem arising in plasma transport which is governed by a singularly perturbed system. Time-scale separation allows us to focus on a...
Chao Xu, Joseph N. Dalessio, Eugenio Schuster
HYBRID
2005
Springer
13 years 10 months ago
Adjoint-Based Optimal Control of the Expected Exit Time for Stochastic Hybrid Systems
Abstract. In this paper, we study the problem of controlling the expected exit time from a region for a class of stochastic hybrid systems. That is, we find the least costly feedb...
Robin L. Raffard, Jianghai Hu, Claire Tomlin
SIAMSC
2010
198views more  SIAMSC 2010»
13 years 3 months ago
Analysis of Block Parareal Preconditioners for Parabolic Optimal Control Problems
In this paper, we describe block matrix algorithms for the iterative solution of large scale linear-quadratic optimal control problems arising from the optimal control of parabolic...
Tarek P. Mathew, Marcus Sarkis, Christian E. Schae...
CDC
2009
IEEE
123views Control Systems» more  CDC 2009»
13 years 8 months ago
Dealing with stochastic reachability
Abstract— For stochastic hybrid systems, stochastic reachability is very little supported mainly because of complexity and difficulty of the associated mathematical problems. In...
Manuela L. Bujorianu