Abstract

In this paper, we formalize and solve a state-based Supervisory Control problem with restrictions on the supervisor realization that have not been tackled by the Supervisory Control Theory (SCT) community so far. This problem was derived from the application of SCT to intervene in the dynamics of gene regulatory networks, a relevant problem in the fields of Systems and Synthetic Biology. In our framework, a plant, whose states x are represented by Boolean strings, must be driven from an initial state to a target one, by means of m state-feedback control laws ui = hi(x). The Boolean functions hi, though, cannot be freely chosen, but must rather belong to a (possibly strict) subset R of all the Boolean functions on x.

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