  In this paper, a polynomial chaos based framework for designing controllers
for discrete time linear systems with probabilistic parameters is presented.
Conditions for exponential-mean-square stability for such systems are derived
and algorithms for synthesizing optimal quadratically stabilizing controllers
are proposed in a convex optimization formulation. The solution presented is
demonstrated on the derived discrete-time models of a nonlinear F-16 aircraft
model trimmed at a set of chosen points.
