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SIAMCO
2011
12 years 11 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
SIAMCO
2011
12 years 11 months ago
Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints
In this paper optimal control problems governed by the wave equation with control constraints are analyzed. Three types of control action are considered: distributed control, Neuma...
Axel Kröner, Karl Kunisch, Boris Vexler
SIAMCO
2011
12 years 11 months ago
Optimal Robust Stabilization and Dissipativity Synthesis by Behavioral Interconnection
Given a nominal plant, together with a fixed neighborhood of this plant, the problem of robust stabilization is to find a controller that stabilizes all plants in that neighborh...
Harry L. Trentelman, Shaik Fiaz, Kiyotsugu Takaba
SIAMCO
2011
12 years 11 months ago
Internal Stabilization by Noise of the Navier--Stokes Equation
One shows that the Navier-Stokes equation in O⊂Rd, d = 2, 3, around an unstable equilibrium solution is exponentially stabilizable in probability by an internal noise controller...
Viorel Barbu, Giuseppe Da Prato
SIAMCO
2011
12 years 11 months ago
Admissible Strategies in Semimartingale Portfolio Selection
The choice of admissible trading strategies in mathematical modelling of financial markets is a delicate issue, going back to Harrison and Kreps [HK79]. In the context of optimal...
Sara Biagini, Ales Cerný