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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.

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