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SIAMCO
2008
121views more  SIAMCO 2008»
14 years 11 months ago
A Direct Solution Method for Stochastic Impulse Control Problems of One-dimensional Diffusions
We consider stochastic impulse control problems where the process is driven by one-dimensional diffusions. Impulse control problems are widely applied to financial engineering and...
Masahiko Egami
SIAMCO
2008
70views more  SIAMCO 2008»
14 years 11 months ago
Minimal Time Sequential Batch Reactors with Bounded and Impulse Controls for One or More Species
We consider the optimal control problem of feeding in minimal time a tank where several species compete for a single resource, with the objective being to reach a given level of th...
Pedro Gajardo, Héctor Ramírez Cabrer...
SIAMCO
2000
89views more  SIAMCO 2000»
14 years 11 months ago
Stability Radius and Internal Versus External Stability in Banach Spaces: An Evolution Semigroup Approach
In this paper the theory of evolution semigroups is developed and used to provide a framework to study the stability of general linear control systems. These include autonomous and...
Stephen Clark, Yuri Latushkin, Stephen Montgomery-...
SIAMCO
2002
71views more  SIAMCO 2002»
14 years 11 months ago
Rate of Convergence for Constrained Stochastic Approximation Algorithms
There is a large literature on the rate of convergence problem for general unconstrained stochastic approximations. Typically, one centers the iterate n about the limit point then...
Robert Buche, Harold J. Kushner
SIAMCO
2002
121views more  SIAMCO 2002»
14 years 11 months ago
Consistent Approximations and Approximate Functions and Gradients in Optimal Control
As shown in [7], optimal control problems with either ODE or PDE dynamics can be solved efficiently using a setting of consistent approximations obtained by numerical discretizati...
Olivier Pironneau, Elijah Polak