Cluster approximate synchronization for probabilistic asynchronous finite field networks
摘要
In this paper, we have established probabilistic asynchronous finite field networks (PAFFNs) and investigated the cluster approximate synchronization of it. Firstly, using the semi-tensor product, the dynamics of PAFFNs are transformed into algebraic form. Secondly, based on algebraic form, cluster approximate synchronization with probabilistic asynchronous update scheme is converted into the set stability of the probabilistic systems, and sufficient and necessary conditions of PAFFNs cluster approximate synchronization are obtained. Finally, an example is given to illustrate the correctness of theorems.