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AUTOMATICA
2008
90views more  AUTOMATICA 2008»
13 years 5 months ago
On the infinite time solution to state-constrained stochastic optimal control problems
: For an infinite-horizon optimal control problem, the cost does not, in general, converge. The classical work-around to this problem is to introduce a discount or "forgetting...
Per Rutquist, Claes Breitholtz, Torsten Wik
SIAMCO
2002
128views more  SIAMCO 2002»
13 years 4 months ago
Generalized Solutions in Nonlinear Stochastic Control Problems
An optimal stochastic control problem is considered for systems with unbounded controls satisfying an integral constraint. It is shown that there exists an optimal control within t...
F. Dufour, Boris M. Miller
MCSS
2008
Springer
13 years 4 months ago
Maximal solution to algebraic Riccati equations linked to infinite Markov jump linear systems
In this paper we deal with a perturbed algebraic Riccati equation in an infinite dimensional Banach space. Besides the interest in its own right, this class of equations appears, ...
Jack Baczynski, Marcelo D. Fragoso
MOR
2007
109views more  MOR 2007»
13 years 4 months ago
Solution and Forecast Horizons for Infinite-Horizon Nonhomogeneous Markov Decision Processes
We consider the problem of solving a nonhomogeneous infinite horizon Markov Decision Process (MDP) problem in the general case of potentially multiple optimal first period polic...
Torpong Cheevaprawatdomrong, Irwin E. Schochetman,...
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