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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
AUTOMATICA
1999
119views more  AUTOMATICA 1999»
13 years 4 months ago
Robust L2-gain control for nonlinear systems with projection dynamics and input constraints: an example from traffic control
We formulate the L2-gain control problem for a general nonlinear, state-space system with projection dynamics in the state evolution and hard constraints on the set of admissible ...
Joseph A. Ball, Martin V. Day, Tungsheng Yu, Pushk...
SIAMMA
2011
98views more  SIAMMA 2011»
12 years 11 months ago
Time-Periodic Linearized Solutions of the Compressible Euler Equations and a Problem of Small Divisors
It has been unknown since the time of Euler whether or not time-periodic sound wave propagation is physically possible in the compressible Euler equations, due mainly to the ubiqui...
Blake Temple, Robin Young
AUTOMATICA
2011
12 years 11 months ago
Distributed dynamic programming for discrete-time stochastic control, and idempotent algorithms
Previously, idempotent methods have been found to be extremely fast for solution of dynamic programming equations associated with deterministic control problems. The original meth...
William M. McEneaney
SIAMCO
2008
116views more  SIAMCO 2008»
13 years 4 months ago
Optimal Reflection of Diffusions and Barrier Options Pricing under Constraints
We introduce a new class of control problems in which the gain depends on the solution of a stochastic differential equation reflected at the boundary of a bounded domain, along d...
Bruno Bouchard