Set Stabilization of Boolean Control Networks via Output-Feedback Controllers
研究了布尔控制网络通过输出反馈控制器实现集合镇定问题，提出了基于状态动力学矩阵的新方法，并给出了时不变和时变输出反馈镇定的充要条件及设计算法。
In this article, the set stabilization problem of Boolean control networks (BCNs) using output-feedback controllers is investigated comprehensively. First, a novel method for stabilizing BCNs, namely, the state dynamics matrix-based method, is proposed. Then, based on the above method, the time-invariant output-feedback (TIOF) and the time-variant output-feedback (TVOF) laws are derived. The necessary and sufficient conditions of both TIOF and TVOF stabilization of BCNs are also given. In addition, corresponding algorithms are provided such that all possible TIOF stabilizers and TVOF stabilizers for given BCNs can be designed. Finally, some illustrative examples are demonstrated, where the results are discussed and the effectiveness of the presented method is validated.