Abstract
This article studies the minimal reconstructibility of Boolean control networks (BCNs) based on the semi-tensor product (STP). Two effective criteria for the reconstructibility of BCNs under two definitions are proposed by using weak control invariant subset (WCIS) and strong control invariant subset (SCIS). By injecting new measurements, a minimal reconstructibility problem (MRP) is established for achieving reconstructibility. Based on constructing an index matrix, the solution of the MRP is transformed into the solution of the equation. Finally, a biological example is given to illustrate the theoretical results and further emphasize the inequivalence of the two definitions.
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