Controllability and observability of Boolean control networks

Authors:
Daizhan Cheng;Hongsheng Qi
Affiliations:
Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, PR China;Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, PR China
Venue:
Automatica (Journal of IFAC)
Year:
2009

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Abstract

The controllability and observability of Boolean control networks are investigated. After a brief review on converting a logic dynamics to a discrete-time linear dynamics with a transition matrix, some formulas are obtained for retrieving network and its logical dynamic equations from this network transition matrix. Based on the discrete-time dynamics, the controllability via two kinds of inputs is revealed by providing the corresponding reachable sets precisely. Then the problem of observability is also solved by giving necessary and sufficient conditions.