Open AccessOutput synchronisation design for master–slave Boolean networks
Author(s) -
Li Xian,
Tian Hui,
Wu Baowei
Publication year - 2018
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2017.1284
Subject(s) - constructive , state (computer science) , control theory (sociology) , master/slave , computer science , core (optical fiber) , controller (irrigation) , algebraic number , constructive proof , boolean network , boolean data type , mathematics , control (management) , algorithm , theoretical computer science , boolean function , discrete mathematics , process (computing) , artificial intelligence , biology , operating system , telecommunications , mathematical analysis , agronomy
The output synchronisation of two deterministic Boolean networks coupled in the master–slave configuration is studied. First, under the algebraic framework of logical systems, an auxiliary system is constructed. Second, core input‐state cycles are generalised and an algorithm is given to calculate these cycles. Third, based on core input‐state cycles of the newly constructed auxiliary system, a necessary and sufficient existence condition is derived for a synchronising state feedback controller. Furthermore, a constructive method is provided to get feasible state feedback controllers when the existence condition obtained above is satisfied. Finally, an illustrative example is provided to verify the effectiveness and superiority of the presented results.