基于事件触发的延时概率布尔网络的输出跟踪

Event-Based Output Tracking of Probabilistic Boolean Networks with Time Delay

文章主要研究在事件触发控制下带延时的概率布尔网络的输出跟踪问题.首先,利用矩阵半张量积的方法将带延时的概率布尔网络转换为代数形式.其次,分别讨论有/没有控制输入两种情况的延时概率布尔网络,基于代数形式和定义的一系列可达集,分别给出了在有限时间内输出跟踪问题以概率1有解的充要条件.再次,文章提出了设计事件触发控制器的算法.最后,通过一个算例来验证理论的正确性以及算法的有效性.

This paper mainly studies the output tracking problem of probabilistic Boolean networks(PBNs)with time delay under event-triggered control.Firstly,PBNs with time delay is transformed into its algebraic form by using the method of semi-tensor product of matrices.Secondly,the delayed PBNs without control input are discussed,respectively.Based on the algebraic expression of delayed PBNs and a series of construed reachable sets,the necessary and sufficient conditions for the system achieving output tracking in finite time with probability one are given.Thirdly,the algorithm of designing event-triggered controller is proposed in this paper.Finally,an example is given to verify the correctness of the theoretical results and the effectiveness of the algorithm.