In this paper, the design of all possible switching signal-dependent state feedback and output feedback stabilizers for switched Boolean control networks (SBCNs) under arbitrary switching signal is investigated. By making use of the algebraic state-space approach to SBCNs, necessary and sufficient conditions for the stabilization at a given equilibrium point are presented. A new algorithm is proposed to determine all possible complete families of controllable sets for SBCNs, thereby all possible switching signal-dependent state feedback and output feedback controllers are obtained. Furthermore, we derive necessary and sufficient conditions for the solvability of the output regulation problem, and we show that, upon satisfying such conditions, also this problem can be solved by means of switching signal-dependent state feedback and output feedback controllers. At last, the proposed results are supported by examples.

本文研究了在任意开关信号下用于开关布尔控制网络（SBCN）的所有可能的依赖于开关信号的状态反馈和输出反馈稳定器的设计。通过对SBCN使用代数状态空间方法，给出了在给定平衡点处稳定的必要和充分条件。提出了一种新的算法来确定SBCN的所有可能的可控集合的完整族，从而获得所有可能的依赖于开关信号的状态反馈和输出反馈控制器。此外，我们得出了解决输出调节问题的必要和充分条件，并且我们证明，满足这些条件后，还可以通过切换依赖信号的状态反馈和输出反馈控制器来解决此问题。最后，提出的结果得到实例的支持。