Premium
Controllability of Boolean control networks with impulsive effects and forbidden states
Author(s) -
Liu Yang,
Chen Hongwei,
Wu Bo
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2773
Subject(s) - controllability , mathematics , product (mathematics) , tensor product , control (management) , pure mathematics , control theory (sociology) , computer science , geometry , artificial intelligence
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. Copyright © 2013 John Wiley & Sons, Ltd.