The dynamics of biological networks in practice is often governed by different switching rules (Karlebach and Shamir in Nature Reviews Molecular Cell Biology 9:770–780, 2008; Lewin in Genes VII. Cambridge, Oxford University Press, 2000). Accordingly, the switched logical network model is proposed to depict the switching phenomenon in biological networks (Li and Wang in Automatica 48:2917–2922, 2012). This chapter firstly studies the switching stabilizability of switched logical networks. Secondly, the controllability and observability of switched logical networks are explored through Boolean matrices. Finally, the stabilization of switched logical control networks is discussed, and both mode-independent and mode-dependent controllers are designed.

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Switched Logical Networks

  • Haitao Li,
  • Xinrong Yang,
  • Wenrong Li

摘要

The dynamics of biological networks in practice is often governed by different switching rules (Karlebach and Shamir in Nature Reviews Molecular Cell Biology 9:770–780, 2008; Lewin in Genes VII. Cambridge, Oxford University Press, 2000). Accordingly, the switched logical network model is proposed to depict the switching phenomenon in biological networks (Li and Wang in Automatica 48:2917–2922, 2012). This chapter firstly studies the switching stabilizability of switched logical networks. Secondly, the controllability and observability of switched logical networks are explored through Boolean matrices. Finally, the stabilization of switched logical control networks is discussed, and both mode-independent and mode-dependent controllers are designed.