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Output tracking control of Boolean control networks with impulsive effects
Author(s) -
Xu Xiaojing,
Li Haitao,
Li Yalu,
Alsaadi Fuad E.
Publication year - 2017
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.4685
Subject(s) - algebraic number , mathematics , tracking (education) , control (management) , control theory (sociology) , constant (computer programming) , representation (politics) , signal (programming language) , control signal , state (computer science) , state space , computer science , algorithm , mathematical analysis , statistics , artificial intelligence , telecommunications , psychology , pedagogy , transmission (telecommunications) , politics , political science , law , programming language
This paper studies the output tracking problem of Boolean control networks (BCNs) with impulsive effects via the algebraic state‐space representation approach. The dynamics of BCNs with impulsive effects is converted to an algebraic form. Based on the algebraic form, some necessary and sufficient conditions are presented for the feedback output tracking control of BCNs with impulsive effects. These conditions contain constant reference signal case and time‐varying reference signal case. The study of an illustrative example shows that the obtained new results are effective.