  The ergodicity and the output-controllability of stochastic reaction networks
have been shown to be essential properties to fulfill to enable their control
using, for instance, antithetic integral control. We propose here to extend
those properties to the case of uncertain networks. To this aim, the notions of
interval, robust, sign, and structural ergodicity/output-controllability are
introduced. The obtained results lie in the same spirit as those obtained in
[Briat, Gupta & Khammash, Cell Systems, 2016] where those properties are
characterized in terms of control theoretic concepts, linear algebraic
conditions, linear programs, and graph-theoretic/algebraic conditions. An
important conclusion is that all those properties can be characterized by
linear programs. Two examples are given for illustration.
