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Controllability of Boolean control networks avoiding states set

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Abstract

In this paper, using semi-tensor product and the vector form of Boolean logical variables, the Boolean control network (BCN) is expressed as a bilinear discrete time system about state and control variables. Based on the algebraic form, the reachability and controllability avoiding undesirable states set are discussed. The reachability and controllability discussed here are under certain constraint and the definitions of reachability and controllability avoiding undesirable states set have practical meaning. Also, the necessary and sufficient conditions for reachability and controllability are given. At last, the control sequence that steers one state to another is constructed.

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Authors and Affiliations

  1. Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, 450002, China

    ZhiQiang Li & JinLi Song

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  1. ZhiQiang Li
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  2. JinLi Song
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Correspondence to ZhiQiang Li.

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Li, Z., Song, J. Controllability of Boolean control networks avoiding states set. Sci. China Inf. Sci. 57, 1–13 (2014). https://doi.org/10.1007/s11432-013-4839-0

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  • DOI: https://doi.org/10.1007/s11432-013-4839-0

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