Identification of Boolean control networks |
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Authors: | Daizhan Cheng Yin Zhao[Author vitae] |
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Affiliation: | aAcademy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, PR China |
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Abstract: | In this paper the identification of Boolean control networks is addressed. First, necessary and sufficient conditions are obtained for the identification of state equation from input-state data. Then a necessary and sufficient condition for a controllable Boolean network to be observable is presented. Based on these two results, a necessary and sufficient condition for the identification from input–output data is achieved. To practically identify the model, a numerical algorithm is proposed. Two particular cases: (i) identification of systems with a known network graph; (ii) identification of a higher order Boolean network, are also investigated. Finally, the approximate identification for large size networks is explored. |
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Keywords: | Boolean control network Identification Controllability Observability Network graph |
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