Open AccessRegular subspaces and invariant subspaces of Boolean control networks
Author(s) -
Zhu Jiandong,
Jü Pengjing
Publication year - 2016
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.2015.0476
Subject(s) - linear subspace , invariant (physics) , mathematics , subspace topology , invariant subspace , reflexive operator algebra , presupposition , discrete mathematics , pure mathematics , computer science , mathematical analysis , extension (predicate logic) , compact operator , philosophy , epistemology , mathematical physics , programming language
This study investigates some fundamental problems on regular subspaces and invariant subspaces of Boolean control networks. First, a new necessary and sufficient condition for regular subspaces is obtained, which exactly reveals the relationship between a regular subspace and its complementary subspaces. A new method to compute complementary subspaces is proposed. Second, invariant subspaces without the regularity presupposition are considered. Some necessary and sufficient conditions of invariant subspaces are given. Finally, two examples are given to illustrate the obtained theoretical results.