The present invention relates to dynamic optimization of system control
over time. The need for dynamic optimization arises in many settings, as
diverse as solar car power consumption during a multi-day race and
retirement portfolio management. We disclose a reformulation of the
control problem that overcomes the so-called "curse of dimensionality"
and allows formulation of optimal control policies multiple period
planning horizons. One optimal control policy is for power consumption by
a solar car during a race, which involves many course segments, as course
conditions vary through a day. Another is for risk in and consumption
from a portfolio intended to support retirement. Both multi-period
control policies take into account future uncertainty. Particular aspects
of the present invention are described in the claims, specification and
drawings.