文献类型：期刊文献

英文题名：Pinning Controllability for a Boolean Network With Arbitrary Disturbance Inputs

作者：Li, Fangfei[1];Tang, Yang[2]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]East China Univ Sci & Technol, Key Lab Adv Control & Optimizat Chem Proc, Minist Educ, Shanghai 200237, Peoples R China

年份：2021

卷号：51

期号：6

起止页码：3338

外文期刊名：IEEE TRANSACTIONS ON CYBERNETICS

收录：;EI(收录号：20212210423508);WOS:【SCI-EXPANDED(收录号:WOS:000652065400040)】；

基金：This work was supported in part by the National Natural Science Foundation of China under Grant 61773161, Grant 61751305, and Grant 61673176, in part by the Science and Technology Commission of Shanghai Municipality under Grant 18ZR1409800, in part by the Programme of Introducing Talents of Discipline to Universities (the 111 Project) under Grant B17017, and in part by the Fundamental Research Funds for the Central Universities under Grant 50321111916010.

语种：英文

外文关键词：Controllability; Genetics; Aerospace electronics; Cybernetics; Neural networks; Mathematical model; Boolean networks (BNs); controllability; disturbance input; pinning control; semitensor product (STP)

摘要：In this paper, pinning controllability for a Boolean network (BN) under arbitrary disturbance inputs is considered. By selecting a fraction of nodes as the pinning nodes and injecting controllers that depend on the values of the disturbance inputs of the previous time instant, the controllability can be guaranteed for any BNs under arbitrary disturbance inputs. First, based on the necessary and sufficient conditions for the controllability of a BN with arbitrary disturbance inputs obtained in this paper, a constructive method for designing the transition matrix of the BN is presented, which further provides a method for selecting the pinning nodes. Second, a logical relationship between the control input nodes and system nodes is provided through solving logical matrix equations. Third, the control input sequence algorithm is also given. Finally, an example is presented to show the effectiveness of the proposed results.