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Controllability and observability of Boolean control networks. (English) Zbl 1184.93014
Summary: 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 calculating the corresponding reachable sets precisely. Necessary and sufficient conditions for the observability are developed.

93B05 Controllability
93B07 Observability
94C10 Switching theory, application of Boolean algebra; Boolean functions (MSC2010)
Full Text: DOI
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