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Controllability of Context‐Sensitive Probabilistic Mix‐Valued Logical Control Networks with Constraints
Author(s) -
Liu Zhenbin,
Wang Yuzhen,
Li Haitao
Publication year - 2015
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.883
Subject(s) - controllability , probabilistic logic , context (archaeology) , algebraic number , tensor product , network controllability , mathematics , matrix (chemical analysis) , algebraic expression , computer science , algebra over a field , mathematical optimization , theoretical computer science , topology (electrical circuits) , pure mathematics , combinatorics , artificial intelligence , paleontology , mathematical analysis , materials science , betweenness centrality , centrality , composite material , biology
This paper addresses the controllability of context‐sensitive probabilistic mix‐valued logical control networks with constraints on states and controls. First, using the semi‐tensor product of matrices, the context‐sensitive probabilistic mix‐valued logical control network is expressed in an algebraic form, in which the transition matrix is given by two parts: general part and switching part. Second, the algebraic structure of system with constraints on states and controls is investigated and a new algebraic form is established to study the controllability, based on which some necessary and sufficient conditions are obtained. Finally, an illustrative example is studied to support our new results.