On the periodic trajectories of Boolean control networks

On the periodic trajectories of Boolean control networks
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DOI:
10.1016/j.automatica.2013.02.027
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发表时间:
2013-05
期刊:
Autom.
影响因子:
--
通讯作者:
E. Fornasini;M. E. Valcher
E. Fornasini;M. E. Valcher
中科院分区:
其他
文献类型:
--
作者:
E. Fornasini;M. E. Valcher

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在这篇注记中,我们首先刻画了布尔网络的周期轨迹(或等价地,极限环)及其全局吸引性。然后,我们研究在什么条件下布尔控制网络的所有轨迹可能被强迫收敛到相同的周期轨迹。如果每个轨迹都能被驱动到这样的周期轨迹,这是可能的,借助于反馈控制律。
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.