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Control of Large-Scale Boolean Networks via Network Aggregation

机译:通过网络聚合控制大规模布尔网络

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摘要

A major challenge to solve problems in control of Boolean networks is that the computational cost increases exponentially when the number of nodes in the network increases. We consider the problem of controllability and stabilizability of Boolean control networks, address the increasing cost problem by partitioning the network graph into several subnetworks, and analyze the subnetworks separately. Easily verifiable necessary conditions for controllability and stabilizability are proposed for a general aggregation structure. For acyclic aggregation, we develop a sufficient condition for stabilizability. It dramatically reduces the computational complexity if the number of nodes in each block of the acyclic aggregation is small enough compared with the number of nodes in the entire Boolean network.
机译:解决布尔网络控制问题的主要挑战是,当网络中的节点数量增加时,计算成本将成倍增加。我们考虑布尔控制网络的可控性和稳定性问题,通过将网络图划分为多个子网来解决成本增加的问题,并分别分析子网。对于一般的聚集结构,提出了可验证的可控性和稳定性的必要条件。对于非循环聚集,我们为稳定性开发了充分条件。如果非循环聚合的每个块中的节点数与整个布尔网络中的节点数相比足够小,则它将大大降低计算复杂性。

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