Delay Partial Synchronization of Mutual Delay Coupled Boolean Networks

Abstract

This paper studies the delay partial synchronization for mutual delay-coupled Boolean networks. First, the mutual delay-coupled Boolean network model is presented. Second, some necessary and sufficient conditions are derived to ensure the delay partial synchronization of the mutual delay-coupled Boolean networks. The upper bound of synchronization time is obtained. Finally, an example is provided to illustrate the efficiency of the theoretical analysis.

A survey on applications of the semi‐tensor product method in Boolean control networks with time delays

“…Subsequently, References 86‐88 discussed the synchronization in an array of output‐coupled BNs with time delays. Furthermore, delay synchronization, 89,90 inner synchronization, 91 intermittent synchronization, 92 cluster synchronization 93 of TBNs were successively studied.…”

Synchronization of mutual time-varying delay-coupled temporal Boolean networks

“…Synchronization occurs between two systems, and there is mutual coupling relationship between the two systems. There are some outstanding results on coupling synchronization, such as synchronization of probabilistic BNs with indirect coupling, 20 partial synchronization of interconnected BNs, 21,22 anti-synchronization of the two coupled BNs, 23 synchronization of the two coupled deterministic BNs, 24 synchronization of the switched BNs, 25,26 complete synchronization of the two coupled BNs, 25 synchronization of the two coupled BNs, 27 and robust synchronization of the two Boolean control networks. 28 This research focuses on synchronization of the BNs with delay coupling or without delay coupling.…”