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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
SIAMCO
2011
12 years 12 months ago
Nonlinear Black-Scholes Equations in Finance: Associated Control Problems and Properties of Solutions
We study properties of solutions to fully nonlinear versions of the standard Black– Scholes partial differential equation. These equations have been introduced in financial mat...
Rüdiger Frey, Ulrike Polte
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
CDC
2008
IEEE
116views Control Systems» more  CDC 2008»
13 years 11 months ago
General duality between optimal control and estimation
— Optimal control and estimation are dual in the LQG setting, as Kalman discovered, however this duality has proven difficult to extend beyond LQG. Here we obtain a more natural...
Emanuel Todorov
CDC
2009
IEEE
149views Control Systems» more  CDC 2009»
13 years 9 months ago
A constant-factor approximately optimal solution to the Witsenhausen counterexample
Abstract— Despite its simplicity (two controllers and otherwise LQG), Witsenhausen’s counterexample is one of the long-standing open problems in stochastic distributed control....
Se Yong Park, Pulkit Grover, Anant Sahai