Stability of a Switched Boolean Network Via Designing Switching Laws

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• 作者：Fangfei Li ; Xiwen Lu
• 关键词：Switched Boolean network ; Semi ; tensor product of matrices ; Stability ; Designing switching law
• 刊名：Qualitative Theory of Dynamical Systems
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：15
• 期：2
• 页码：491-502
• 全文大小：452 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Dynamical Systems and Ergodic Theory
  Difference and Functional Equations
  
• 出版者：Birkh盲user Basel
• ISSN：1662-3592
• 卷排序：15

文摘

This paper studies the stability of a switched Boolean network via designing switching laws. Necessary and sufficient conditions are provided for the stability of a switched Boolean network and a switched Boolean control network respectively. Algorithms are presented for the switching law, control design and the trajectory tracking, respectively. The study of the illustrative examples shows the efficiency of the proposed results.