This paper investigates the time-variant state feedback stabilization of constrained delayed Boolean control networks under nonuniform sampled-data control. Firstly, using the augmented algebraic form of constrained delayed Boolean control networks, the constrained nonuniform sampled-data controllability matrix is constructed. Secondly, based on the controllability matrix, a necessary and sufficient condition is proposed for the nonuniform sampled-data reachability of constrained delayed Boolean control networks. Thirdly, by virtue of the nonuniform sampled-data reachability, a new procedure is established to design time-variant state feedback sampled-data stabilizers via reachable set approach. The obtained results are applied to the cell survival regulation of apoptosis networks.

本文研究了非均匀采样数据控制下约束时滞布尔控制网络的时变状态反馈镇定问题。首先，利用约束时滞布尔控制网络的增强代数形式，构造了约束非均匀采样数据的可控制性矩阵。其次，基于可控性矩阵，为约束时滞布尔控制网络的不均匀采样数据可达性提出了充要条件。第三，由于采样数据的不均匀性，建立了一种新的过程，通过可达集的方法来设计时变状态反馈采样数据稳定器。所得结果应用于细胞凋亡网络的细胞存活调节。