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Controllability and observability of state‐dependent switched Boolean control networks with input constraints
Author(s) -
Li Yiliang,
Li Jinjin,
Ma Zhouming,
Feng June,
Wang Hongkun
Publication year - 2019
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2210
Subject(s) - observability , controllability , state (computer science) , algebraic number , mathematics , basis (linear algebra) , control theory (sociology) , product (mathematics) , tensor product , control (management) , topology (electrical circuits) , computer science , pure mathematics , combinatorics , algorithm , mathematical analysis , geometry , artificial intelligence
This paper investigates the controllability and observability of state‐dependent switched Boolean control networks (SDSBCNs) with input constraints. First, the algebraic form of SDSBCNs is derived via the semi‐tensor product of matrices. Then constrained model‐input‐state (CMIS) matrices are introduced for SDSBCNs with input constraints. On the basis of CMIS matrices, two necessary and sufficient conditions are provided for the controllability and observability. Finally, two examples are given to show the effectiveness of the main results.