On the periodic trajectories of Boolean control networks

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• 作者：Ettore Fornasini ^{fornasini@dei.unipd.it} ; Maria Elena Valcher¹ ; ^{meme@dei.unipd.it}
• 关键词：Boolean logic ; Boolean control networks ; Directed graphs ; Feedback stabilization ; Limit cycles ; Stabilizability
• 刊名：Automatica
• 出版年：2013
• 出版时间：May, 2013
• 年：2013
• 卷：49
• 期：5
• 页码：1506-1509
• 全文大小：439 K

文摘

In this note we first characterize the periodic trajectories (or, equivalently, the limit cycles) of a Boolean network, and their global attractiveness. We then investigate under which conditions all the trajectories of a Boolean control network may be forced to converge to the same periodic trajectory. If every trajectory can be driven to such a periodic trajectory, this is possible by means of a feedback control law.