Finite-Time Disturbance Decoupling of Boolean Control Networks
研究了布尔网络和布尔控制网络的有限时间扰动解耦问题，给出了判断网络是否有限时间扰动解耦的充要条件，并设计了时间最优状态反馈控制器。
In this article, the finite-time disturbance decoupling problem (FTDDP) of Boolean networks (BNs) and Boolean control networks (BCNs) is studied. A novel necessary and sufficient condition is first provided to determine whether a given BN is finite-time disturbance decoupled. Then, an algorithm is devised to find the shortest time that guarantees that a given BN is finite-time disturbance decoupled. In addition, using a constructed truth matrix, a necessary and sufficient condition for solving the disturbance decoupling problem of BCNs is proposed, and all possible time optimal state feedback controllers are designed. Finally, two examples are introduced to illustrate the feasibility of the obtained results.