Synchronization of switched Boolean networks with impulsive effects

被引：21
作者：
Xu, Xiaojing [1 ]
Liu, Yansheng [1 ]
Li, Haitao [1 ]
Alsaadi, Fuad E. [2 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
[2] King Abdulaziz Univ, Dept Elect & Comp Engn, Fac Engn, Jeddah 21589, Saudi Arabia
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2018年 / 11卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Switched Boolean network; impulsive effects; synchronization; algebraic state space representation; DIFFERENTIAL-SYSTEMS; COMPLEX NETWORKS; STABILITY; CONTROLLABILITY; OBSERVABILITY; STABILIZATION; DISTURBANCES;
D O I：
10.1142/S1793524518500808
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
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 synchronization of SBNs with impulsive effects. Finally, two illustrative examples are worked out to show the effectiveness of the obtained results.
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页数：18
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