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Controllability of Boolean control networks with impulsive effects and forbidden states. (English) Zbl 1282.93054
Summary: This paper investigates the controllability of Boolean control networks (BCNs) with impulsive effects while avoiding certain forbidden states. Using semi-tensor product of matrices, the BCNs with impulsive effects can be converted into impulsive discrete-time systems. Then, some necessary and sufficient conditions for the controllability are obtained. It is interesting to find that impulsive effects play an important role in the controllability of BCNs. Finally, an example is given to show the efficiency of the obtained results.

MSC:
93B05 Controllability
34A37 Ordinary differential equations with impulses
03G05 Logical aspects of Boolean algebras
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