Pinning Control for Local Synchronization of Drive-Response Boolean Networks
提出一种牵制控制策略实现驱动-响应布尔网络的局部同步，给出同步的充要条件和最大初始状态集，并设计最小牵制节点选择与状态反馈方法，以果蝇基因调控网络验证有效性。
A pinning control strategy for the local synchronization of drive-response Boolean networks is proposed in this article. A necessary and sufficient condition of the local synchronization is given, along with the maximum initial state set guaranteeing the synchronization. A procedure for determining pinning nodes with the minimum number and designing a state feedback for each pinning node, leading to a local synchronous drive-response Boolean network, is provided. Finally, a gene regulation network for the D. melanogaster segmentation polarity is elaborated to illustrate the effectiveness of the proposed results.