周期时变布尔网络的完全同步化
Complete synchronization of the periodically time-variant Boolean networks

本文主要研究了驱动–响应结构下的布尔网络的完全同步化, 其中驱动系统是一个周期性时变的布尔网络. 对 于上述问题, 本文基于逻辑系统的代数形式下分两种情况讨论. 对于每种情况, 都将给出一个完全同步的充要条件. 相 应地, 提出了两个响应布尔网络的同步化方案. 最后, 通过一些数值例子来说明本文结果的有效性.
This paper mainly investigates the complete synchronization of two Boolean networks (BNs) coupled unidirectionally in the drive-response configuration, where the drive BN is periodically time-variant. We discuss it in two cases under the algebraic framework of logical systems. For each case, a necessary and sufficient criterion for complete synchronization is presented. Accordingly, two general design approaches to a synchronizing response BN are developed. Finally, numerical examples are given in order to illustrate the effectiveness of our results.