Synchronization of switched Boolean networks with impulsive effects
Synchronization of switched Boolean networks with impulsive effects作者机构：School of Mathematics and Statistics Shandong Normal University Jinan 250014 P. R. China Department of Electrical and Computer Engineering Faculty of Engineering King Abdulaziz University Jeddah 21589 Saudi Arabia
出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)
年 卷 期：2018年第11卷第6期
页 面：93-110页
核心收录：
学科分类：080903[工学-微电子学与固体电子学] 0809[工学-电子科学与技术（可授工学、理学学位）] 07[理学] 08[工学] 0701[理学-数学] 070101[理学-基础数学]
基 金：The research was supported by the National Natural Science Foundation of China under grant 61503225 the Natural Science Fund for Distinguished Young Scholars of Shandong Province under grant JQ201613 and the Natural Science Foundation of Shandong Province under grant ZR2015FQ003
主 题：Switched Boolean network impulsive effects synchronization algebraic state space representation.
摘 要：This paper studies the state/output synchronization of switched Boolean networks （SBNs） with impulsive effects via the algebraic state space representation （ASSR） approach. First, an algebraic form is established for SBNs with impulsive effects via ASSR. Second, based on the algebraic form, some necessary and sufficient conditions are presented for the state/output synchronization of SBNs with impulsive effects under arbitrary switching signals. Third, two special kinds of switching signals, that is, free switching signal and feedback switching signal, are considered for the state synchroniza-tion of SBNs with impulsive effects. Finally, two illustrative examples are worked out to show the effectiveness of the obtained results.
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