This paper presents that robust control-based utility advocated
by Anderson, Hansen, and Sargent [1], and Hansen and Sargent [11], admits
a normalized representation, where future utility enters the recursion through
an aggregator, of stochastic differential utility (Duffie and Epstein [4]) under
nonMakovian jump-diffusion information. In virtue of the normalized representation,
sufficient conditions are shown for the existence, uniqueness, ambiguity
aversion, risk aversion, time consistency, and other properties of the
utility.