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A note on the observability of temporal Boolean control network. (English) Zbl 1271.93031

Summary: Temporal Boolean network is a generalization of the Boolean network model that takes into account the time series nature of the data and tries to incorporate into the model the possible existence of delayed regulatory interactions among genes. This paper investigates the observability problem of temporal Boolean control networks. Using the semi-tensor product of matrices, the temporal Boolean networks can be converted into discrete time linear dynamic systems with time delays. Then, necessary and sufficient conditions on the observability via two kinds of inputs are obtained. An example is given to illustrate the effectiveness of the obtained results.

MSC:

93B07 Observability
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93C55 Discrete-time control/observation systems
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